Lee, Jaesung Iterates of weighted Berezin transform under invariant measure in the unit ball. (English) Zbl 07312259 Korean J. Math. 28, No. 3, 449-457 (2020). MSC: 31C05 47G10 PDF BibTeX XML Cite \textit{J. Lee}, Korean J. Math. 28, No. 3, 449--457 (2020; Zbl 07312259) Full Text: DOI
Das, Namita; Roy, Swarupa Toeplitz and Hankel operators on weighted Bergman spaces. (English) Zbl 07307041 Ann. Acad. Rom. Sci., Math. Appl. 12, No. 1-2, 99-116 (2020). MSC: 47B38 47B32 PDF BibTeX XML Cite \textit{N. Das} and \textit{S. Roy}, Ann. Acad. Rom. Sci., Math. Appl. 12, No. 1--2, 99--116 (2020; Zbl 07307041) Full Text: Link
Ioos, Louis; Kaminker, Victoria; Polterovich, Leonid; Shmoish, Dor Spectral aspects of the Berezin transform. (Aspects spectraux de la transformée de Berezin.) (English. French summary) Zbl 07300121 Ann. Henri Lebesgue 3, 1343-1387 (2020). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 81P15 PDF BibTeX XML Cite \textit{L. Ioos} et al., Ann. Henri Lebesgue 3, 1343--1387 (2020; Zbl 07300121) Full Text: DOI
Jian, Shuman; Wang, Xiaofeng; Xia, Jin Positive Toeplitz operators between doubling Fock spaces. (Chinese. English summary) Zbl 07267098 J. Sichuan Univ., Nat. Sci. Ed. 57, No. 2, 225-230 (2020). MSC: 47B35 47B37 PDF BibTeX XML Cite \textit{S. Jian} et al., J. Sichuan Univ., Nat. Sci. Ed. 57, No. 2, 225--230 (2020; Zbl 07267098) Full Text: DOI
Göğüş, Nihat Gökhan; Şahutoğlu, Sönmez On convergence of the Berezin transforms. (English) Zbl 07244656 J. Math. Anal. Appl. 491, No. 1, Article ID 124295, 15 p. (2020). MSC: 47 46 PDF BibTeX XML Cite \textit{N. G. Göğüş} and \textit{S. Şahutoğlu}, J. Math. Anal. Appl. 491, No. 1, Article ID 124295, 15 p. (2020; Zbl 07244656) Full Text: DOI
Molchanov, V. F. Polynomial quantization on line bundles. (English) Zbl 1443.53033 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 193-205 (2020). MSC: 53C30 22E99 53D50 PDF BibTeX XML Cite \textit{V. F. Molchanov}, in: Transmutation operators and applications. Cham: Birkhäuser. 193--205 (2020; Zbl 1443.53033) Full Text: DOI
Liu, Congwen; Si, Jiajia Positive Toeplitz operators on the Bergman spaces of the Siegel upper half-space. (English) Zbl 1443.47034 Commun. Math. Stat. 8, No. 1, 113-134 (2020). MSC: 47B35 32A36 PDF BibTeX XML Cite \textit{C. Liu} and \textit{J. Si}, Commun. Math. Stat. 8, No. 1, 113--134 (2020; Zbl 1443.47034) Full Text: DOI
Casseli, Irène Fixed points of the Berezin transform of multidimensional polyanalytic Fock spaces. (English) Zbl 1431.32001 J. Math. Anal. Appl. 481, No. 2, Article ID 123479, 15 p. (2020). MSC: 32A30 30H20 PDF BibTeX XML Cite \textit{I. Casseli}, J. Math. Anal. Appl. 481, No. 2, Article ID 123479, 15 p. (2020; Zbl 1431.32001) Full Text: DOI
Wang, Xiaofeng; Xia, Jin; Chen, Jianjun Hankel operators on generalized Fock spaces. (Chinese. English summary) Zbl 1449.47065 Acta Math. Sin., Chin. Ser. 62, No. 4, 561-572 (2019). MSC: 47B35 32A36 PDF BibTeX XML Cite \textit{X. Wang} et al., Acta Math. Sin., Chin. Ser. 62, No. 4, 561--572 (2019; Zbl 1449.47065)
Zorboska, Nina Closed range type properties of Toeplitz operators on the Bergman space and the Berezin transform. (English) Zbl 07142592 Complex Anal. Oper. Theory 13, No. 8, 4027-4044 (2019). MSC: 47B35 47A53 30H20 30H35 30J10 PDF BibTeX XML Cite \textit{N. Zorboska}, Complex Anal. Oper. Theory 13, No. 8, 4027--4044 (2019; Zbl 07142592) Full Text: DOI
Karapetyants, Alexey; Samko, Stefan; Zhu, Kehe A class of Hausdorff-Berezin operators on the unit disc. (English) Zbl 07142584 Complex Anal. Oper. Theory 13, No. 8, 3853-3870 (2019). MSC: 47G10 47B38 46E30 PDF BibTeX XML Cite \textit{A. Karapetyants} et al., Complex Anal. Oper. Theory 13, No. 8, 3853--3870 (2019; Zbl 07142584) Full Text: DOI
Ding, Lijia; He, Wei Fixed points of poly-Berezin transforms. (English) Zbl 07142577 Complex Anal. Oper. Theory 13, No. 8, 3695-3716 (2019). MSC: 31C05 PDF BibTeX XML Cite \textit{L. Ding} and \textit{W. He}, Complex Anal. Oper. Theory 13, No. 8, 3695--3716 (2019; Zbl 07142577) Full Text: DOI
Das, Namita; Lal, Rajendra Prasad Invariant mean value property and the associated integral equations. (English) Zbl 1438.31002 Ann. Acad. Rom. Sci., Math. Appl. 11, No. 1, 49-78 (2019). MSC: 31B05 31B10 45B05 65R20 PDF BibTeX XML Cite \textit{N. Das} and \textit{R. P. Lal}, Ann. Acad. Rom. Sci., Math. Appl. 11, No. 1, 49--78 (2019; Zbl 1438.31002) Full Text: Link
Zorboska, Nina On the closed range problem for composition operators on the Dirichlet space. (English) Zbl 07140984 Concr. Oper. 6, 76-81 (2019). MSC: 47B33 47A53 30H25 30H35 30J10 PDF BibTeX XML Cite \textit{N. Zorboska}, Concr. Oper. 6, 76--81 (2019; Zbl 07140984) Full Text: DOI
Lee, Jaesung Characterizing functions fixed by a weighted Berezin transform in the Bidisc. (English) Zbl 1427.32006 Korean J. Math. 27, No. 2, 437-444 (2019). MSC: 32A70 47G10 32A22 PDF BibTeX XML Cite \textit{J. Lee}, Korean J. Math. 27, No. 2, 437--444 (2019; Zbl 1427.32006) Full Text: DOI
Zhao, Xianfeng; Zheng, Dechao Toeplitz operators on the Bergman space and the Berezin transform. (English) Zbl 1429.30052 Zhu, Kehe (ed.), Handbook of analytic operator theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 287-318 (2019). MSC: 30H20 47B35 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{D. Zheng}, in: Handbook of analytic operator theory. Boca Raton, FL: CRC Press. 287--318 (2019; Zbl 1429.30052)
Ma, Pan; Yan, Fugang; Zheng, Dechao; Zhu, Kehe Products of Hankel operators on the Fock space. (English) Zbl 07093504 J. Funct. Anal. 277, No. 8, 2644-2663 (2019). MSC: 47B35 30H20 PDF BibTeX XML Cite \textit{P. Ma} et al., J. Funct. Anal. 277, No. 8, 2644--2663 (2019; Zbl 07093504) Full Text: DOI
Doğan, Ömer Faruk; Üreyen, Adem Ersin Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball. (English) Zbl 07088802 Czech. Math. J. 69, No. 2, 503-523 (2019). MSC: 31B05 42B35 PDF BibTeX XML Cite \textit{Ö. F. Doğan} and \textit{A. E. Üreyen}, Czech. Math. J. 69, No. 2, 503--523 (2019; Zbl 07088802) Full Text: DOI
Popescu, Gelu Multi-Toeplitz operators and free pluriharmonic functions. (English) Zbl 07087780 J. Math. Anal. Appl. 478, No. 1, 256-293 (2019). MSC: 47 46 PDF BibTeX XML Cite \textit{G. Popescu}, J. Math. Anal. Appl. 478, No. 1, 256--293 (2019; Zbl 07087780) Full Text: DOI arXiv
Bakherad, Mojtaba; Garayev, Mubariz T. Berezin number inequalities for operators. (English) Zbl 07075291 Concr. Oper. 6, 33-43 (2019). MSC: 47A30 15A60 30E20 47A12 47B15 47B20 PDF BibTeX XML Cite \textit{M. Bakherad} and \textit{M. T. Garayev}, Concr. Oper. 6, 33--43 (2019; Zbl 07075291) Full Text: DOI
Agbor, Dieudonne Algebraic properties of Toeplitz operators with symbols from the range of the heat transform on the Fock space. (English) Zbl 1423.47006 Adv. Oper. Theory 4, No. 3, 698-723 (2019). MSC: 47B35 53D55 PDF BibTeX XML Cite \textit{D. Agbor}, Adv. Oper. Theory 4, No. 3, 698--723 (2019; Zbl 1423.47006) Full Text: DOI Euclid
Popescu, Gelu Bohr inequalities on noncommutative polydomains. (English) Zbl 07053659 Integral Equations Oper. Theory 91, No. 1, Paper No. 7, 55 p. (2019). MSC: 47A56 46L52 32A38 47A63 PDF BibTeX XML Cite \textit{G. Popescu}, Integral Equations Oper. Theory 91, No. 1, Paper No. 7, 55 p. (2019; Zbl 07053659) Full Text: DOI
Cahen, Benjamin Berezin-Weyl quantization of Heisenberg motion groups. (English) Zbl 1415.22011 Math. J. Okayama Univ. 61, 19-35 (2019). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22E45 22E70 22E20 81S10 81R30 PDF BibTeX XML Cite \textit{B. Cahen}, Math. J. Okayama Univ. 61, 19--35 (2019; Zbl 1415.22011)
Popescu, Gelu Bohr inequalities for free holomorphic functions on polyballs. (English) Zbl 07044308 Adv. Math. 347, 1002-1053 (2019). MSC: 47A56 46L52 32A38 47A63 PDF BibTeX XML Cite \textit{G. Popescu}, Adv. Math. 347, 1002--1053 (2019; Zbl 07044308) Full Text: DOI arXiv
Li, Ran; Lu, Yu Feng Radial operators on the weighted Bergman spaces over the polydisk. (English) Zbl 07043600 Acta Math. Sin., Engl. Ser. 35, No. 2, 227-238 (2019). MSC: 47B35 47B37 47A58 PDF BibTeX XML Cite \textit{R. Li} and \textit{Y. F. Lu}, Acta Math. Sin., Engl. Ser. 35, No. 2, 227--238 (2019; Zbl 07043600) Full Text: DOI
Tu, Zhihao; Wang, Xiaofeng Riccati equations and Berezin transforms for reproducing kernel Hilbert spaces of unit ball. (English) Zbl 1424.47031 J. Guangzhou Univ., Nat. Sci. 17, No. 2, 33-38 (2018). MSC: 47A50 47A15 47B35 46E22 PDF BibTeX XML Cite \textit{Z. Tu} and \textit{X. Wang}, J. Guangzhou Univ., Nat. Sci. 17, No. 2, 33--38 (2018; Zbl 1424.47031)
Sang, Yuanqi; Ding, Xuanhao Commuting Toeplitz operators on the pluriharmonic Hardy space. (Chinese. English summary) Zbl 1424.47072 Acta Math. Sin., Chin. Ser. 61, No. 4, 577-584 (2018). MSC: 47B35 47B47 PDF BibTeX XML Cite \textit{Y. Sang} and \textit{X. Ding}, Acta Math. Sin., Chin. Ser. 61, No. 4, 577--584 (2018; Zbl 1424.47072)
Ding, Lijia; Wang, Kai Toeplitz operators on higher Cauchy-Riemann spaces over the unit ball. (English) Zbl 07027295 Integral Equations Oper. Theory 90, No. 6, Paper No. 69, 19 p. (2018). MSC: 47B35 46E22 PDF BibTeX XML Cite \textit{L. Ding} and \textit{K. Wang}, Integral Equations Oper. Theory 90, No. 6, Paper No. 69, 19 p. (2018; Zbl 07027295) Full Text: DOI
Raimondo, Roberto Compact operators with BMO symbols on multiply-connected domains. (English) Zbl 1438.47055 Acta Sci. Math. 84, No. 3-4, 643-658 (2018). MSC: 47B35 47B38 PDF BibTeX XML Cite \textit{R. Raimondo}, Acta Sci. Math. 84, No. 3--4, 643--658 (2018; Zbl 1438.47055) Full Text: DOI
Hu, Jian; Wang, Maofa Free holomorphic functions on the noncommutative polydomains and universal models. (English) Zbl 06965838 Result. Math. 73, No. 3, Paper No. 99, 33 p. (2018). MSC: 47A13 46L52 47A56 PDF BibTeX XML Cite \textit{J. Hu} and \textit{M. Wang}, Result. Math. 73, No. 3, Paper No. 99, 33 p. (2018; Zbl 06965838) Full Text: DOI
Molchanov, V. F. Polynomial quantization and overalgebra. (English) Zbl 1400.43004 Algebr. Represent. Theory 21, No. 5, 1071-1085 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 43A85 22E46 PDF BibTeX XML Cite \textit{V. F. Molchanov}, Algebr. Represent. Theory 21, No. 5, 1071--1085 (2018; Zbl 1400.43004) Full Text: DOI
Čučković, Željko; Vasaturo, Anthony Carleson measures and Douglas’ question on the Bergman space. (English) Zbl 06941006 Rend. Circ. Mat. Palermo (2) 67, No. 2, 323-336 (2018). MSC: 47A05 30H20 47B35 PDF BibTeX XML Cite \textit{Ž. Čučković} and \textit{A. Vasaturo}, Rend. Circ. Mat. Palermo (2) 67, No. 2, 323--336 (2018; Zbl 06941006) Full Text: DOI
Luef, Franz; Skrettingland, Eirik Convolutions for localization operators. (English. French summary) Zbl 06938398 J. Math. Pures Appl. (9) 118, 288-316 (2018). MSC: 47G30 35S05 46E35 47B10 PDF BibTeX XML Cite \textit{F. Luef} and \textit{E. Skrettingland}, J. Math. Pures Appl. (9) 118, 288--316 (2018; Zbl 06938398) Full Text: DOI arXiv
Das, Namita; Sahoo, Madhusmita Berezin transform of the absolute value of an operator. (English) Zbl 1394.30040 Ann. Funct. Anal. 9, No. 2, 151-165 (2018). Reviewer: Kehe Zhu (Albany) MSC: 30H20 47B32 PDF BibTeX XML Cite \textit{N. Das} and \textit{M. Sahoo}, Ann. Funct. Anal. 9, No. 2, 151--165 (2018; Zbl 1394.30040) Full Text: DOI Euclid
Askour, Nour Eddine; Intissar, Ahmed; Ziyat, Mohammed Spectral theory of magnetic Berezin transforms on the complex projective space. (English) Zbl 06860220 Complex Anal. Oper. Theory 12, No. 3, 705-727 (2018). MSC: 47A60 46F12 45P05 47A10 PDF BibTeX XML Cite \textit{N. E. Askour} et al., Complex Anal. Oper. Theory 12, No. 3, 705--727 (2018; Zbl 06860220) Full Text: DOI
Peláez, José Ángel; Rättyä, Jouni; Sierra, Kian Berezin transform and Toeplitz operators on Bergman spaces induced by regular weights. (English) Zbl 06859122 J. Geom. Anal. 28, No. 1, 656-687 (2018). Reviewer: Nikolaj L. Vasilevskij (Ciudad de México) MSC: 47B35 30H20 PDF BibTeX XML Cite \textit{J. Á. Peláez} et al., J. Geom. Anal. 28, No. 1, 656--687 (2018; Zbl 06859122) Full Text: DOI
Li, Yucheng; Wang, Maofa; Lan, Wenhua The compactness of a class of radial operators on weighted Bergman spaces. (English) Zbl 06848508 Adv. Oper. Theory 3, No. 2, 400-410 (2018). MSC: 47B35 32A36 PDF BibTeX XML Cite \textit{Y. Li} et al., Adv. Oper. Theory 3, No. 2, 400--410 (2018; Zbl 06848508) Full Text: DOI Euclid
Rao, N. V. The range of the Berezin transform. (English. Russian original) Zbl 1394.30042 J. Math. Sci., New York 228, No. 6, 684-694 (2018); translation from Probl. Mat. Anal. 90, 73-81 (2018). Reviewer: Joan Fàbrega (Barcelona) MSC: 30H99 31A05 PDF BibTeX XML Cite \textit{N. V. Rao}, J. Math. Sci., New York 228, No. 6, 684--694 (2018; Zbl 1394.30042); translation from Probl. Mat. Anal. 90, 73--81 (2018) Full Text: DOI
Chen, Jian Jun; Wang, Xiao Feng; Xia, Jin; Cao, Guang Fu Sarason’s Toeplitz product problem on the Fock-Sobolev space. (English) Zbl 06837563 Acta Math. Sin., Engl. Ser. 34, No. 2, 288-296 (2018). MSC: 47B32 47B35 47B38 PDF BibTeX XML Cite \textit{J. J. Chen} et al., Acta Math. Sin., Engl. Ser. 34, No. 2, 288--296 (2018; Zbl 06837563) Full Text: DOI
Das, Namita; Sahoo, Madhusmita Majorization of Berezin transform. (English) Zbl 1434.30014 Adv. Math., Sci. J. 6, No. 2, 87-95 (2017). MSC: 30H20 47B10 PDF BibTeX XML Cite \textit{N. Das} and \textit{M. Sahoo}, Adv. Math., Sci. J. 6, No. 2, 87--95 (2017; Zbl 1434.30014) Full Text: Link
Jena, Pabitra Kumar Sufficient conditions on nonunitary operators that imply the unitary operators. (English) Zbl 1424.47078 Turk. J. Math. 41, No. 2, 361-367 (2017). MSC: 47B38 47B33 47B35 PDF BibTeX XML Cite \textit{P. K. Jena}, Turk. J. Math. 41, No. 2, 361--367 (2017; Zbl 1424.47078) Full Text: DOI
Yu, Tao Sum of Toeplitz products on the Hardy space over the polydisk. (English) Zbl 06864467 Ill. J. Math. 61, No. 1-2, 225-241 (2017). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 47B35 32A35 PDF BibTeX XML Cite \textit{T. Yu}, Ill. J. Math. 61, No. 1--2, 225--241 (2017; Zbl 06864467) Full Text: Euclid
Rouby, Ophélie Berezin-Toeplitz quantization and complex Weyl quantization of the torus \(\mathbb{T}^2\). (English) Zbl 1390.35446 Port. Math. (N.S.) 74, No. 4, 315-354 (2017). MSC: 35S05 47G30 PDF BibTeX XML Cite \textit{O. Rouby}, Port. Math. (N.S.) 74, No. 4, 315--354 (2017; Zbl 1390.35446) Full Text: DOI
Das, Namita; Sahoo, Madhusmita Majorization of Berezin transform. (English) Zbl 1388.30085 Adv. Math., Sci. J. 6, No. 1, 87-95 (2017). MSC: 30H20 47B32 PDF BibTeX XML Cite \textit{N. Das} and \textit{M. Sahoo}, Adv. Math., Sci. J. 6, No. 1, 87--95 (2017; Zbl 1388.30085)
Lee, Jaesung Some properties of the Berezin transform in the bidisc. (English) Zbl 1387.31008 Commun. Korean Math. Soc. 32, No. 3, 779-787 (2017). MSC: 31B30 47B38 PDF BibTeX XML Cite \textit{J. Lee}, Commun. Korean Math. Soc. 32, No. 3, 779--787 (2017; Zbl 1387.31008) Full Text: DOI
Das, Namita A Berezin-type map on \(L_a^2(\mathbb{C}_+)\). (English) Zbl 06828869 Ann. Acad. Rom. Sci., Math. Appl. 9, No. 2, 152-170 (2017). MSC: 47B35 32M15 PDF BibTeX XML Cite \textit{N. Das}, Ann. Acad. Rom. Sci., Math. Appl. 9, No. 2, 152--170 (2017; Zbl 06828869) Full Text: Link
Ding, Xuanhao; Sang, Yuanqi The pluriharmonic Hardy space and Toeplitz operators. (English) Zbl 06814121 Result. Math. 72, No. 3, 1473-1497 (2017). MSC: 47B35 30H10 PDF BibTeX XML Cite \textit{X. Ding} and \textit{Y. Sang}, Result. Math. 72, No. 3, 1473--1497 (2017; Zbl 06814121) Full Text: DOI
Rahm, Rob; Tchoundja, Edgar; Wick, Brett D. Weighted estimates for the Berezin transform and Bergman projection on the unit ball. (English) Zbl 1379.32006 Math. Z. 286, No. 3-4, 1465-1478 (2017). Reviewer: Liwei Chen (Columbus) MSC: 32A36 42B35 PDF BibTeX XML Cite \textit{R. Rahm} et al., Math. Z. 286, No. 3--4, 1465--1478 (2017; Zbl 1379.32006) Full Text: DOI
Colombo, F.; Gantner, J.; Janssens, T. Berezin transform of slice functions. (English) Zbl 1375.30070 Complex Var. Elliptic Equ. 62, No. 9, 1204-1220 (2017). MSC: 30G35 30H20 46E22 PDF BibTeX XML Cite \textit{F. Colombo} et al., Complex Var. Elliptic Equ. 62, No. 9, 1204--1220 (2017; Zbl 1375.30070) Full Text: DOI
Singh, Shivam Kumar; Gupta, Anuradha \(k\)th-order slant Toeplitz operators on the Fock space. (English) Zbl 06770929 Adv. Oper. Theory 2, No. 3, 318-333 (2017). MSC: 47B35 46E20 PDF BibTeX XML Cite \textit{S. K. Singh} and \textit{A. Gupta}, Adv. Oper. Theory 2, No. 3, 318--333 (2017; Zbl 06770929) Full Text: DOI
Krantz, Steven G. Harmonic and complex analysis in several variables. (English) Zbl 1414.32001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-63229-2/hbk; 978-3-319-63231-5/ebook). xii, 424 p. (2017). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 32-02 32A25 32A26 32A50 32A55 32W05 PDF BibTeX XML Cite \textit{S. G. Krantz}, Harmonic and complex analysis in several variables. Cham: Springer (2017; Zbl 1414.32001) Full Text: DOI
Bommier-Hato, Hélène; Youssfi, El Hassan; Zhu, Kehe Sarason’s Toeplitz product problem for a class of Fock spaces. (English) Zbl 1377.47010 Bull. Sci. Math. 141, No. 5, 408-442 (2017). MSC: 47B35 30H20 30H10 46E22 PDF BibTeX XML Cite \textit{H. Bommier-Hato} et al., Bull. Sci. Math. 141, No. 5, 408--442 (2017; Zbl 1377.47010) Full Text: DOI
López-García, Marcos; Pérez-Esteva, Salvador Norm estimates for Toeplitz operators on the Bergman space with symbols supported in circles and mixed norms. (English) Zbl 1375.47023 Complex Anal. Oper. Theory 11, No. 3, 707-726 (2017). MSC: 47B35 46E30 PDF BibTeX XML Cite \textit{M. López-García} and \textit{S. Pérez-Esteva}, Complex Anal. Oper. Theory 11, No. 3, 707--726 (2017; Zbl 1375.47023) Full Text: DOI
Dieudonne, Agbor \(m\)-Berezin transform and approximation of operators on the Bergman space over bounded symmetric domains. (English) Zbl 06705357 Complex Anal. Oper. Theory 11, No. 3, 651-674 (2017). MSC: 47 PDF BibTeX XML Cite \textit{A. Dieudonne}, Complex Anal. Oper. Theory 11, No. 3, 651--674 (2017; Zbl 06705357) Full Text: DOI
Boussejra, Abdelhamid; Mouayn, Zouhaïr A new formula for Berezin transforms attached to generalized Bergman spaces on the unit ball \(\mathbb{B}^n\). (English) Zbl 1373.43005 Mosc. Math. J. 16, No. 4, 641-649 (2016). MSC: 43A32 47B35 47G10 81Q35 PDF BibTeX XML Cite \textit{A. Boussejra} and \textit{Z. Mouayn}, Mosc. Math. J. 16, No. 4, 641--649 (2016; Zbl 1373.43005) Full Text: Link
Chen, Jianjun; Wang, Xiaofeng Compact Toeplitz operators on the Dirichlet space over unit ball. (Chinese. English summary) Zbl 1374.47043 Acta Sci. Nat. Univ. Sunyatseni 55, No. 6, 74-78 (2016). MSC: 47B35 32A37 PDF BibTeX XML Cite \textit{J. Chen} and \textit{X. Wang}, Acta Sci. Nat. Univ. Sunyatseni 55, No. 6, 74--78 (2016; Zbl 1374.47043) Full Text: DOI
Cahen, Benjamin Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups. (English) Zbl 1372.22012 Rend. Ist. Mat. Univ. Trieste 48, 509-530 (2016). Reviewer: Stefan Berceanu (Bucureşti) MSC: 22E45 22E70 81S10 81R30 PDF BibTeX XML Cite \textit{B. Cahen}, Rend. Ist. Mat. Univ. Trieste 48, 509--530 (2016; Zbl 1372.22012) Full Text: DOI arXiv
Cahen, Benjamin Addendum to: “Berezin transform and Stratonovich-Weyl correspondence for the multi-dimensional Jacobi group”. (English) Zbl 1401.22008 Rend. Semin. Mat. Univ. Padova 136, 265-275 (2016). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 22E27 32M10 46E22 PDF BibTeX XML Cite \textit{B. Cahen}, Rend. Semin. Mat. Univ. Padova 136, 265--275 (2016; Zbl 1401.22008) Full Text: DOI
Cahen, Benjamin Berezin transform and Stratonovich-Weyl correspondence for the multi-dimensional Jacobi group. (English) Zbl 1359.22010 Rend. Semin. Mat. Univ. Padova 136, 69-93 (2016). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 22E27 32M10 46E22 PDF BibTeX XML Cite \textit{B. Cahen}, Rend. Semin. Mat. Univ. Padova 136, 69--93 (2016; Zbl 1359.22010) Full Text: DOI
Colombo, Fabrizio; Gantner, Jonathan; Janssens, Tim Schatten class and Berezin transform of quaternionic linear operators. (English) Zbl 1356.47025 Math. Methods Appl. Sci. 39, No. 18, 5582-5606 (2016). MSC: 47B10 47A10 47A60 30G35 PDF BibTeX XML Cite \textit{F. Colombo} et al., Math. Methods Appl. Sci. 39, No. 18, 5582--5606 (2016; Zbl 1356.47025) Full Text: DOI arXiv
Popescu, Gelu Holomorphic automorphisms of noncommutative polyballs. (English) Zbl 1389.46079 J. Oper. Theory 76, No. 2, 387-448 (2016). MSC: 46L40 47A13 46L06 46L52 PDF BibTeX XML Cite \textit{G. Popescu}, J. Oper. Theory 76, No. 2, 387--448 (2016; Zbl 1389.46079) Full Text: DOI arXiv
Zhao, Xianfeng; Zheng, Dechao Invertibility of Toeplitz operators via Berezin transforms. (English) Zbl 1389.47087 J. Oper. Theory 75, No. 2, 475-495 (2016). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B35 47B65 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{D. Zheng}, J. Oper. Theory 75, No. 2, 475--495 (2016; Zbl 1389.47087) Full Text: DOI
Al-Rawashdeh, Waleed Compact weighted composition operators between generalized Fock spaces. (English) Zbl 1362.47005 Missouri J. Math. Sci. 28, No. 1, 62-75 (2016). MSC: 47B33 30H20 PDF BibTeX XML Cite \textit{W. Al-Rawashdeh}, Missouri J. Math. Sci. 28, No. 1, 62--75 (2016; Zbl 1362.47005) Full Text: Euclid
Zhao, Xianfeng Positivity of Fock Toeplitz operators via the Berezin transform. (English) Zbl 1353.47059 Chin. Ann. Math., Ser. B 37, No. 4, 533-542 (2016). MSC: 47B35 47B65 PDF BibTeX XML Cite \textit{X. Zhao}, Chin. Ann. Math., Ser. B 37, No. 4, 533--542 (2016; Zbl 1353.47059) Full Text: DOI
Li, Ran; Lu, Yufeng \((m, \lambda)\)-Berezin transform on the weighted Bergman spaces over the polydisk. (English) Zbl 1385.47028 J. Funct. Spaces 2016, Article ID 6804235, 11 p. (2016). Reviewer: Fábio José Bertoloto (Uberlândia) MSC: 47L80 32A36 47B35 PDF BibTeX XML Cite \textit{R. Li} and \textit{Y. Lu}, J. Funct. Spaces 2016, Article ID 6804235, 11 p. (2016; Zbl 1385.47028) Full Text: DOI
Popescu, Gelu Free pluriharmonic functions on noncommutative polyballs. (English) Zbl 1353.47007 Anal. PDE 9, No. 5, 1185-1234 (2016). MSC: 47A13 47A56 47B35 46L52 PDF BibTeX XML Cite \textit{G. Popescu}, Anal. PDE 9, No. 5, 1185--1234 (2016; Zbl 1353.47007) Full Text: DOI arXiv
Cho, Hong Rae Toeplitz operators on generalized Fock spaces. (English) Zbl 1351.30040 Bull. Korean Math. Soc. 53, No. 3, 711-722 (2016). Reviewer: Ali Abkar (Qazvin) MSC: 30H20 47B35 PDF BibTeX XML Cite \textit{H. R. Cho}, Bull. Korean Math. Soc. 53, No. 3, 711--722 (2016; Zbl 1351.30040) Full Text: DOI Link
Mengestie, Tesfa Schatten-class generalized Volterra companion integral operators. (English) Zbl 1341.47026 Banach J. Math. Anal. 10, No. 2, 267-280 (2016). MSC: 47B32 46E22 46E20 47B33 PDF BibTeX XML Cite \textit{T. Mengestie}, Banach J. Math. Anal. 10, No. 2, 267--280 (2016; Zbl 1341.47026) Full Text: DOI Euclid arXiv
Karabegov, Alexander On the phase form of a deformation quantization with separation of variables. (English) Zbl 1337.53102 J. Geom. Phys. 104, 30-38 (2016). MSC: 53D55 53C55 PDF BibTeX XML Cite \textit{A. Karabegov}, J. Geom. Phys. 104, 30--38 (2016; Zbl 1337.53102) Full Text: DOI arXiv
Engliš, Miroslav An excursion into Berezin-Toeplitz quantization and related topics. (English) Zbl 1341.53122 Bahns, Dorothea (ed.) et al., Quantization, PDEs, and geometry. The interplay of analysis and mathematical physics. Cham: Birkhäuser/Springer (ISBN 978-3-319-22406-0/hbk; 978-3-319-22407-7/ebook). Operator Theory: Advances and Applications 251, 69-115 (2016). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53-02 46E22 47B35 32A36 PDF BibTeX XML Cite \textit{M. Engliš}, Oper. Theory: Adv. Appl. 251, 69--115 (2016; Zbl 1341.53122) Full Text: DOI
Shu, Yong Lu; Zhao, Xian Feng Positivity of Toeplitz operators on harmonic Bergman space. (English) Zbl 1338.47027 Acta Math. Sin., Engl. Ser. 32, No. 2, 175-186 (2016). MSC: 47B35 47B65 PDF BibTeX XML Cite \textit{Y. L. Shu} and \textit{X. F. Zhao}, Acta Math. Sin., Engl. Ser. 32, No. 2, 175--186 (2016; Zbl 1338.47027) Full Text: DOI
Popescu, Gelu Berezin transforms on noncommutative polydomains. (English) Zbl 06551095 Trans. Am. Math. Soc. 368, No. 6, 4357-4416 (2016). MSC: 47A13 47A56 47A48 47A60 PDF BibTeX XML Cite \textit{G. Popescu}, Trans. Am. Math. Soc. 368, No. 6, 4357--4416 (2016; Zbl 06551095) Full Text: DOI arXiv
Rahm, Robert The essential norm of operators on \(\ell^2\)-valued Bergman-type function spaces. (English) Zbl 1350.32010 Complex Anal. Oper. Theory 10, No. 1, 69-96 (2016). Reviewer: Małgorzata Michalska (Lublin) MSC: 32A36 47B35 PDF BibTeX XML Cite \textit{R. Rahm}, Complex Anal. Oper. Theory 10, No. 1, 69--96 (2016; Zbl 1350.32010) Full Text: DOI arXiv
Das, Namita; Lal, Rajendra Prasad Hyperbolic harmonic functions and the associated integral equations. (English) Zbl 1374.31003 An. Univ. Vest Timiş., Ser. Mat.-Inform. 53, No. 1, 37-56 (2015). MSC: 31B05 31B10 65R20 PDF BibTeX XML Cite \textit{N. Das} and \textit{R. P. Lal}, An. Univ. Vest Timiş., Ser. Mat.-Inform. 53, No. 1, 37--56 (2015; Zbl 1374.31003) Full Text: DOI
Chen, Jianjun; Wang, Xiaofeng; Xia, Jin Compact Toeplitz operators on dirichlet space of bounded symmetric domains. (Chinese. English summary) Zbl 1349.47040 Acta Math. Sin., Chin. Ser. 58, No. 6, 923-934 (2015). MSC: 47B35 47B38 PDF BibTeX XML Cite \textit{J. Chen} et al., Acta Math. Sin., Chin. Ser. 58, No. 6, 923--934 (2015; Zbl 1349.47040)
Rahm, Robert; Wick, Brett D. The essential norm of operators on the Bergman space of vector-valued functions on the unit ball. (English) Zbl 1350.32011 Jarosz, Krzysztof (ed.), Function spaces in analysis. Proceedings of the 7th conference on function spaces, Southern Illinois University at Edwardsville, IL, USA, May 20–24, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1694-2/pbk; 978-1-4704-2633-0/ebook). Contemporary Mathematics 645, 249-281 (2015). Reviewer: Gregor Herbort (Wuppertal) MSC: 32A36 47B35 PDF BibTeX XML Cite \textit{R. Rahm} and \textit{B. D. Wick}, Contemp. Math. 645, 249--281 (2015; Zbl 1350.32011) Full Text: DOI
Thirulogasanthar, K.; Saad, Nasser; Honnouvo, G. 2D-Zernike polynomials and coherent state quantization of the unit disc. (English) Zbl 1332.81090 Math. Phys. Anal. Geom. 18, No. 1, Article ID 13, 21 p. (2015). MSC: 81R30 33C45 46L65 PDF BibTeX XML Cite \textit{K. Thirulogasanthar} et al., Math. Phys. Anal. Geom. 18, No. 1, Article ID 13, 21 p. (2015; Zbl 1332.81090) Full Text: DOI arXiv
Yu, Tao; Zhuang, Chunming Berezin transform and commutativity of Toeplitz operators on the Hardy space over the polydisk. (Chinese. English summary) Zbl 1340.47056 Acta Math. Sci., Ser. A, Chin. Ed. 35, No. 3, 567-577 (2015). MSC: 47B35 32A10 PDF BibTeX XML Cite \textit{T. Yu} and \textit{C. Zhuang}, Acta Math. Sci., Ser. A, Chin. Ed. 35, No. 3, 567--577 (2015; Zbl 1340.47056)
Zhou, Lifang; Lu, Jin The estimation of \(L^p\) norm of the Berezin-type transform. (Chinese. English summary) Zbl 1340.47071 Appl. Math., Ser. A (Chin. Ed.) 30, No. 2, 211-216 (2015). MSC: 47B38 32A36 47G10 PDF BibTeX XML Cite \textit{L. Zhou} and \textit{J. Lu}, Appl. Math., Ser. A (Chin. Ed.) 30, No. 2, 211--216 (2015; Zbl 1340.47071)
Isralowitz, Joshua; Mitkovski, Mishko; Wick, Brett D. Localization and compactness in Bergman and Fock spaces. (English) Zbl 1337.32014 Indiana Univ. Math. J. 64, No. 5, 1553-1573 (2015). Reviewer: Fritz Haslinger (Wien) MSC: 32A36 32A37 47B35 PDF BibTeX XML Cite \textit{J. Isralowitz} et al., Indiana Univ. Math. J. 64, No. 5, 1553--1573 (2015; Zbl 1337.32014) Full Text: DOI arXiv
Blasco, Oscar; Pérez-Esteva, Salvador Averaging operators, Berezin transforms and atomic decomposition on Bergman-Herz spaces. (English) Zbl 1323.47039 Eur. J. Math. 1, No. 3, 560-581 (2015). MSC: 47B38 46E15 PDF BibTeX XML Cite \textit{O. Blasco} and \textit{S. Pérez-Esteva}, Eur. J. Math. 1, No. 3, 560--581 (2015; Zbl 1323.47039) Full Text: DOI
Lu, Meilin; Li, Desheng; Guan, Hongyan The Berezin transform and radial operators on a weighted Bergman space of the unit ball. (English) Zbl 1340.47066 Chin. Q. J. Math. 30, No. 1, 47-54 (2015). MSC: 47B38 47B35 PDF BibTeX XML Cite \textit{M. Lu} et al., Chin. Q. J. Math. 30, No. 1, 47--54 (2015; Zbl 1340.47066)
Zhang, Kan; Feng, Xue; Dong, Jianguo; Guan, Chi; Yu, Yan Multiplication operator on the weighted Bergman space of the unit ball. (Chinese. English summary) Zbl 1340.47057 Acta Math. Sin., Chin. Ser. 58, No. 1, 125-130 (2015). MSC: 47B35 PDF BibTeX XML Cite \textit{K. Zhang} et al., Acta Math. Sin., Chin. Ser. 58, No. 1, 125--130 (2015; Zbl 1340.47057)
Michalska, Małgorzata; Sobolewski, Paweł Bounded Toeplitz and Hankel products on the weighted Bergman spaces of the unit ball. (English) Zbl 1342.47043 J. Aust. Math. Soc. 99, No. 2, 237-249 (2015). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47B35 32A36 PDF BibTeX XML Cite \textit{M. Michalska} and \textit{P. Sobolewski}, J. Aust. Math. Soc. 99, No. 2, 237--249 (2015; Zbl 1342.47043) Full Text: DOI
Das, Namita; Sahoo, Madhusmita Domination of Berezin transform. (English) Zbl 1321.47069 Vietnam J. Math. 43, No. 3, 609-620 (2015). MSC: 47B35 PDF BibTeX XML Cite \textit{N. Das} and \textit{M. Sahoo}, Vietnam J. Math. 43, No. 3, 609--620 (2015; Zbl 1321.47069) Full Text: DOI
Wang, Xiaofeng; Cao, Guangfu; Zhu, Kehe BMO and Hankel operators on Fock-type spaces. (English) Zbl 1337.47044 J. Geom. Anal. 25, No. 3, 1650-1665 (2015). MSC: 47B35 30H20 32A36 32A37 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Geom. Anal. 25, No. 3, 1650--1665 (2015; Zbl 1337.47044) Full Text: DOI
Suárez, Daniel A generalization of Toeplitz operators on the Bergman space. (English) Zbl 1399.32010 J. Oper. Theory 73, No. 2, 315-332 (2015). Reviewer: Kehe Zhu (Albany) MSC: 32A36 47B35 PDF BibTeX XML Cite \textit{D. Suárez}, J. Oper. Theory 73, No. 2, 315--332 (2015; Zbl 1399.32010) Full Text: DOI arXiv
Isralowitz, Joshua Compactness and essential norm properties of operators on generalized Fock spaces. (English) Zbl 1389.47083 J. Oper. Theory 73, No. 2, 281-316 (2015). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 47B35 42B20 PDF BibTeX XML Cite \textit{J. Isralowitz}, J. Oper. Theory 73, No. 2, 281--316 (2015; Zbl 1389.47083) Full Text: DOI arXiv
Bauer, Wolfram; Vasilevski, Nikolai On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. II: Gelfand theory. (English) Zbl 1361.47006 Complex Anal. Oper. Theory 9, No. 3, 593-630 (2015). Reviewer: Agbor Dieudonné (Buea) MSC: 47B35 47L80 32A36 PDF BibTeX XML Cite \textit{W. Bauer} and \textit{N. Vasilevski}, Complex Anal. Oper. Theory 9, No. 3, 593--630 (2015; Zbl 1361.47006) Full Text: DOI
Bauer, Wolfram; Choe, Boo Rim; Koo, Hyungwoon Commuting Toeplitz operators with pluriharmonic symbols on the Fock space. (English) Zbl 1327.47023 J. Funct. Anal. 268, No. 10, 3017-3060 (2015). Reviewer: Waleed Al-Rawashdeh (Butte) MSC: 47B35 30H20 32A37 PDF BibTeX XML Cite \textit{W. Bauer} et al., J. Funct. Anal. 268, No. 10, 3017--3060 (2015; Zbl 1327.47023) Full Text: DOI
Popescu, Gelu Curvature invariant on noncommutative polyballs. (English) Zbl 1325.47015 Adv. Math. 279, 104-158 (2015). Reviewer: Orr Moshe Shalit (Haifa) MSC: 47A13 46L52 47A15 32A70 PDF BibTeX XML Cite \textit{G. Popescu}, Adv. Math. 279, 104--158 (2015; Zbl 1325.47015) Full Text: DOI arXiv
Blaschke, Petr; Jahn, Jiří Berezin transform of two arguments. (English) Zbl 1315.44003 J. Funct. Anal. 268, No. 12, 3790-3833 (2015). MSC: 44A15 PDF BibTeX XML Cite \textit{P. Blaschke} and \textit{J. Jahn}, J. Funct. Anal. 268, No. 12, 3790--3833 (2015; Zbl 1315.44003) Full Text: DOI
Kong, Ling Hui; Lu, Yu Feng Commuting Toeplitz operators on the Hardy space of the polydisk. (English) Zbl 1345.47010 Acta Math. Sin., Engl. Ser. 31, No. 4, 695-702 (2015). Reviewer: Željko Čučković (Toledo) MSC: 47B35 47B38 PDF BibTeX XML Cite \textit{L. H. Kong} and \textit{Y. F. Lu}, Acta Math. Sin., Engl. Ser. 31, No. 4, 695--702 (2015; Zbl 1345.47010) Full Text: DOI
Bayer, Dominik; Gröchenig, Karlheinz Time-frequency localization operators and a Berezin transform. (English) Zbl 1337.47029 Integral Equations Oper. Theory 82, No. 1, 95-117 (2015). MSC: 47B10 94A12 81S30 42C30 PDF BibTeX XML Cite \textit{D. Bayer} and \textit{K. Gröchenig}, Integral Equations Oper. Theory 82, No. 1, 95--117 (2015; Zbl 1337.47029) Full Text: DOI
Cho, Hong Rae; Isralowitz, Joshua; Joo, Jae-Cheon Toeplitz operators on Fock-Sobolev type spaces. (English) Zbl 1326.47029 Integral Equations Oper. Theory 82, No. 1, 1-32 (2015). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47B35 32A25 30H20 PDF BibTeX XML Cite \textit{H. R. Cho} et al., Integral Equations Oper. Theory 82, No. 1, 1--32 (2015; Zbl 1326.47029) Full Text: DOI arXiv
Marković, Marijan On the Forelli-Rudin projection theorem. (English) Zbl 1314.45014 Integral Equations Oper. Theory 81, No. 3, 409-425 (2015). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 45P05 47B35 PDF BibTeX XML Cite \textit{M. Marković}, Integral Equations Oper. Theory 81, No. 3, 409--425 (2015; Zbl 1314.45014) Full Text: DOI
Zhu, Kehe An integral representation for Besov and Lipschitz spaces. (English) Zbl 1316.30051 J. Aust. Math. Soc. 98, No. 1, 129-144 (2015). Reviewer: Abebaw Tadesse (Langston) MSC: 30H20 30H25 32A36 PDF BibTeX XML Cite \textit{K. Zhu}, J. Aust. Math. Soc. 98, No. 1, 129--144 (2015; Zbl 1316.30051) Full Text: DOI arXiv
Agbor, Dieudonne; Bauer, Wolfram Heat flow and an algebra of Toeplitz operators. (English) Zbl 1337.47039 Integral Equations Oper. Theory 81, No. 2, 271-299 (2015). MSC: 47B35 53D55 PDF BibTeX XML Cite \textit{D. Agbor} and \textit{W. Bauer}, Integral Equations Oper. Theory 81, No. 2, 271--299 (2015; Zbl 1337.47039) Full Text: DOI
Engliš, Miroslav; Upmeier, Harald Asymptotic expansions for Toeplitz operators on symmetric spaces of general type. (English) Zbl 1310.32027 Trans. Am. Math. Soc. 367, No. 1, 423-476 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 32M15 47B35 53D55 53D17 PDF BibTeX XML Cite \textit{M. Engliš} and \textit{H. Upmeier}, Trans. Am. Math. Soc. 367, No. 1, 423--476 (2015; Zbl 1310.32027) Full Text: DOI
Blaschke, Petr Berezin transform on harmonic Bergman spaces on the real ball. (English) Zbl 1347.42018 J. Math. Anal. Appl. 411, No. 2, 607-630 (2014). MSC: 42B10 42B35 33C20 PDF BibTeX XML Cite \textit{P. Blaschke}, J. Math. Anal. Appl. 411, No. 2, 607--630 (2014; Zbl 1347.42018) Full Text: DOI