Mizuta, Yoshihiro; Shimomura, Tetsu Vanishing exponential integrability for Riesz potentials in Morrey-Orlicz spaces. (English) Zbl 07794278 Math. Nachr. 297, No. 1, 110-125 (2024). MSC: 46E30 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Math. Nachr. 297, No. 1, 110--125 (2024; Zbl 07794278) Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Sobolev type inequalities for fractional maximal functions and Riesz potentials in Morrey spaces of variable exponent on half spaces. (English) Zbl 07790569 Czech. Math. J. 73, No. 4, 1201-1217 (2023). MSC: 46E30 42B25 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Czech. Math. J. 73, No. 4, 1201--1217 (2023; Zbl 07790569) Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Sobolev type inequalities for fractional maximal functions and Riesz potentials in half spaces. arXiv:2305.13708 Preprint, arXiv:2305.13708 [math.FA] (2023). MSC: 46E30 42B25 31B15 BibTeX Cite \textit{Y. Mizuta} and \textit{T. Shimomura}, ``Sobolev type inequalities for fractional maximal functions and Riesz potentials in half spaces'', Preprint, arXiv:2305.13708 [math.FA] (2023) Full Text: arXiv OA License
Mizuta, Yoshihiro; Shimomura, Tetsu Boundedness of fractional integral operators in Herz spaces on the hyperplane. (English) Zbl 07777610 Math. Methods Appl. Sci. 45, No. 14, 8631-8654 (2022). Reviewer: Guillermo Flores (Córdoba) MSC: 42B25 46E30 31B15 26A33 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Math. Methods Appl. Sci. 45, No. 14, 8631--8654 (2022; Zbl 07777610) Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces. (English) Zbl 1522.46025 Can. Math. Bull. 65, No. 4, 924-935 (2022). MSC: 46E30 42B25 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Can. Math. Bull. 65, No. 4, 924--935 (2022; Zbl 1522.46025) Full Text: DOI
Sawano, Yoshihiro; Shigematsu, Masaki; Shimomura, Tetsu Generalized Riesz potentials of functions in Morrey spaces \(L^{(1, \varphi;\kappa)}(G)\) over non-doubling measure spaces. (English) Zbl 1436.42029 Forum Math. 32, No. 2, 339-359 (2020). MSC: 42B25 26A33 31B15 46E30 46E35 PDFBibTeX XMLCite \textit{Y. Sawano} et al., Forum Math. 32, No. 2, 339--359 (2020; Zbl 1436.42029) Full Text: DOI
Harjulehto, Petteri; Hurri-Syrjänen, Ritva Pointwise estimates to the modified Riesz potential. (English) Zbl 1407.31004 Manuscr. Math. 156, No. 3-4, 521-543 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 31C15 42B20 42B25 26D10 46E30 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{R. Hurri-Syrjänen}, Manuscr. Math. 156, No. 3--4, 521--543 (2018; Zbl 1407.31004) Full Text: DOI arXiv Link
Youssef, Akdim; Aissaoui, Noureddine; Hassib, My Cherif Musielak-Orlicz-Sobolev spaces on arbitrary metrique space. (English) Zbl 1416.46039 Commentat. Math. 56, No. 2, 169-183 (2016). MSC: 46E35 28A12 31B15 42B35 46E30 42B25 PDFBibTeX XMLCite \textit{A. Youssef} et al., Commentat. Math. 56, No. 2, 169--183 (2016; Zbl 1416.46039) Full Text: DOI
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander Multilinear integral operators in weighted grand Lebesgue spaces. (English) Zbl 1343.42018 Fract. Calc. Appl. Anal. 19, No. 3, 696-724 (2016). MSC: 42B20 42B25 42B35 46E30 31E05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Fract. Calc. Appl. Anal. 19, No. 3, 696--724 (2016; Zbl 1343.42018) Full Text: DOI
Kokilashvili, V.; Mastyło, M.; Meskhi, A. Multilinear fractional integrals in weighted grand Lebesgue spaces. (English) Zbl 1334.42029 Proc. A. Razmadze Math. Inst. 169, 141-153 (2015). MSC: 42B20 42B25 42B35 46E30 31E05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Proc. A. Razmadze Math. Inst. 169, 141--153 (2015; Zbl 1334.42029)
Kokilashvili, V.; Mastyło, M.; Meskhi, A. Multilinear maximal functions and singular integrals in weighted grand Lebesque spaces. (English) Zbl 1333.42038 Proc. A. Razmadze Math. Inst. 167, 142-150 (2015). MSC: 42B25 42B20 42B35 46E30 31E05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Proc. A. Razmadze Math. Inst. 167, 142--150 (2015; Zbl 1333.42038)
Brudnyi, Alexander \(BMO\) functions as harmonic sections of flat bundles on the maximal ideal space of \(H^\infty\). (English) Zbl 1333.30070 Integral Equations Oper. Theory 83, No. 1, 61-72 (2015). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 30H35 30H05 31B05 46J15 46J20 46M20 PDFBibTeX XMLCite \textit{A. Brudnyi}, Integral Equations Oper. Theory 83, No. 1, 61--72 (2015; Zbl 1333.30070) Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Weighted Morrey spaces of variable exponent and Riesz potentials. (English) Zbl 1318.31009 Math. Nachr. 288, No. 8-9, 984-1002 (2015). MSC: 31B15 46E30 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Math. Nachr. 288, No. 8--9, 984--1002 (2015; Zbl 1318.31009) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao Sobolev’s inequality for Riesz potentials in Lorentz spaces of variable exponent. (English) Zbl 1317.31013 J. Math. Soc. Japan 67, No. 2, 433-452 (2015). MSC: 31B15 46E30 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Ohno}, J. Math. Soc. Japan 67, No. 2, 433--452 (2015; Zbl 1317.31013) Full Text: DOI Euclid
Mizuta, Yoshihiro; Ohno, Takao Sobolev’s inequality for Riesz potentials in central Lorentz-Morrey spaces of variable exponent. (English) Zbl 1298.31006 RIMS Kôkyûroku Bessatsu B43, 101-120 (2013). MSC: 31B15 46E30 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Ohno}, RIMS Kôkyûroku Bessatsu B43, 101--120 (2013; Zbl 1298.31006)
Izuchi, Kei Ji; Izuchi, Yuko On Mortini’s question concerning the level sets on \(M(H^\infty)\) of a certain harmonic function. (English) Zbl 1284.30055 Topology Appl. 160, No. 10, 1099-1101 (2013). Reviewer: Manfred Stoll (Columbia) MSC: 30H05 31A15 46J15 PDFBibTeX XMLCite \textit{K. J. Izuchi} and \textit{Y. Izuchi}, Topology Appl. 160, No. 10, 1099--1101 (2013; Zbl 1284.30055) Full Text: DOI
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials. (English) Zbl 1269.31005 J. Math. Soc. Japan 65, No. 2, 633-670 (2013). MSC: 31B15 46E35 42B25 46E30 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., J. Math. Soc. Japan 65, No. 2, 633--670 (2013; Zbl 1269.31005) Full Text: DOI Euclid
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\). (English) Zbl 1273.31005 Rev. Mat. Complut. 25, No. 2, 413-434 (2012). MSC: 31B15 46E30 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Rev. Mat. Complut. 25, No. 2, 413--434 (2012; Zbl 1273.31005) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Trace inequalities for fractional integrals in grand Lebesgue spaces. (English) Zbl 1275.46016 Stud. Math. 210, No. 2, 159-176 (2012). Reviewer: Santiago Boza (Vilanova i la Geltrú) MSC: 46E30 31E05 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Stud. Math. 210, No. 2, 159--176 (2012; Zbl 1275.46016) Full Text: DOI
Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent. (English) Zbl 1193.46016 J. Math. Anal. Appl. 366, No. 2, 391-417 (2010). Reviewer: Stephen J. Gardiner (Dublin) MSC: 46E30 31B15 42B25 PDFBibTeX XMLCite \textit{T. Futamura} et al., J. Math. Anal. Appl. 366, No. 2, 391--417 (2010; Zbl 1193.46016) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Two-weight estimates for strong fractional maximal functions and potentials with multiple kernels. (English) Zbl 1201.42013 J. Korean Math. Soc. 46, No. 3, 523-550 (2009). Reviewer: Chuanzhi Bai (Huaian) MSC: 42B25 47G10 26A33 31B15 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, J. Korean Math. Soc. 46, No. 3, 523--550 (2009; Zbl 1201.42013) Full Text: DOI
Hedberg, Lars Inge; Netrusov, Yuri An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation. (English) Zbl 1186.46028 Mem. Am. Math. Soc. 882, 97 p. (2007). MSC: 46E35 42B35 46-02 26B35 31B15 31C15 31C45 41A17 42B25 PDFBibTeX XMLCite \textit{L. I. Hedberg} and \textit{Y. Netrusov}, An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1186.46028) Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Maximal functions, Riesz potentials and Sobolev’s inequality in generalized Lebesgue spaces. (English) Zbl 1125.31001 Aikawa, Hiroaki (ed.) et al., Potential theory in Matsue. Selected papers of the international workshop on potential theory, Matsue, Japan, August 23–28, 2004. Tokyo: Mathematical Society of Japan (ISBN 4-931469-33-7/hbk). Advanced Studies in Pure Mathematics 44, 255-281 (2006). Reviewer: Olof Svensson (Norrköping) MSC: 31B15 42B25 46E30 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Adv. Stud. Pure Math. 44, 255--281 (2006; Zbl 1125.31001)
Kokilashvili, V.; Meskhi, A. On two weight estimates for strong fractional maximal functions and potentials with multiple kernels. (English) Zbl 1169.42309 Proc. A. Razmadze Math. Inst. 137, 135-140 (2005). Reviewer: Mihai Turinici (Iaşi) MSC: 42B25 31B15 47G10 46E30 26A33 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 137, 135--140 (2005; Zbl 1169.42309)
Adams, D. R.; Xiao, J. Strong type estimates for homogeneous Besov capacities. (English) Zbl 1056.31008 Math. Ann. 325, No. 4, 695-709 (2003). Reviewer: Niels Jacob (Swansea) MSC: 31C15 42B25 42A16 46E30 46E35 47B38 PDFBibTeX XMLCite \textit{D. R. Adams} and \textit{J. Xiao}, Math. Ann. 325, No. 4, 695--709 (2003; Zbl 1056.31008) Full Text: DOI
Aissaoui, Noureddine Some developments of strongly nonlinear potential theory. (English) Zbl 0976.31007 Libertas Math. 19, 155-170 (1999). MSC: 31C15 46E30 PDFBibTeX XMLCite \textit{N. Aissaoui}, Libertas Math. 19, 155--170 (1999; Zbl 0976.31007)
Yoo, Yoon Jae Tent spaces over Lipschitz domains. (English) Zbl 0809.46025 Kyungpook Math. J. 33, No. 2, 149-161 (1993). Reviewer: L.Pick (Praha) MSC: 46E30 42B25 31B25 PDFBibTeX XMLCite \textit{Y. J. Yoo}, Kyungpook Math. J. 33, No. 2, 149--161 (1993; Zbl 0809.46025)
Gabidzashvili, M. A. Weighted inequality for potentials in spaces of homogeneous type. (Russian. English summary) Zbl 0768.42011 Tr. Tbilis. Mat. Inst. Razmadze 95, 3-9 (1990). Reviewer: S.V.Kislyakov (St.Petersburg) MSC: 42B25 46E30 31B15 47B38 43A85 PDFBibTeX XMLCite \textit{M. A. Gabidzashvili}, Proc. A. Razmadze Math. Inst. 95, 3--9 (1990; Zbl 0768.42011)
Axler, Sheldon; Shields, Allen Extensions of harmonic and analytic functions. (English) Zbl 0732.30026 Pac. J. Math. 145, No. 1, 1-15 (1990). Reviewer: S.Axler MSC: 30D40 30D50 31A20 PDFBibTeX XMLCite \textit{S. Axler} and \textit{A. Shields}, Pac. J. Math. 145, No. 1, 1--15 (1990; Zbl 0732.30026) Full Text: DOI
Genebashvili, I. Z. Carleson measures and potentials defined in spaces of homogeneous type. (Russian. English summary) Zbl 0768.42012 Soobshch. Akad. Nauk Gruz. SSR 135, No. 3, 505-508 (1989). Reviewer: S.V.Kislyakov (St.Petersburg) MSC: 42B25 46E30 47B38 31B15 43A85 PDFBibTeX XMLCite \textit{I. Z. Genebashvili}, Soobshch. Akad. Nauk Gruz. SSR 135, No. 3, 505--508 (1989; Zbl 0768.42012)
Kokilashvili, V. M. Anisotropic maximal functions and potentials in weighted Lorentz spaces. (English) Zbl 0709.46521 Proc. Steklov Inst. Math. 180, 159-161 (1989). MSC: 46E30 42B25 31B15 PDFBibTeX XMLCite \textit{V. M. Kokilashvili}, Proc. Steklov Inst. Math. 180, 159--161 (1989; Zbl 0709.46521)
Matsuoka, Cho-Ichiro A certain class of Jensen measures for uniform algebras. (English) Zbl 0656.46036 Isr. J. Math. 60, No. 2, 129-145 (1987). MSC: 46J10 46J20 31C05 PDFBibTeX XMLCite \textit{C.-I. Matsuoka}, Isr. J. Math. 60, No. 2, 129--145 (1987; Zbl 0656.46036) Full Text: DOI
Kalyabin, G. A. Descriptions of functions in classes of Besov-Lizorkin-Triebel type. (English) Zbl 0519.46034 Proc. Steklov Inst. Math. 156, 89-118 (1983). MSC: 46E35 30D15 46E30 42B25 31A05 PDFBibTeX XMLCite \textit{G. A. Kalyabin}, Proc. Steklov Inst. Math. 156, 89--118 (1983; Zbl 0519.46034)
Fefferman, Ronald Raphaël; Gundy, R.; Silverstein, M.; Stein, Elias M. Inequalities for ratios of functionals of harmonic functions. (English) Zbl 0512.31008 Proc. Natl. Acad. Sci. USA 79, 7958-7960 (1982). MSC: 31B05 28C20 46E30 46J15 PDFBibTeX XMLCite \textit{R. R. Fefferman} et al., Proc. Natl. Acad. Sci. USA 79, 7958--7960 (1982; Zbl 0512.31008) Full Text: DOI
Matsuoka, Cho-ichiro Bounded harmonic functions and the Dirichlet problem on the Shilov boundary of \(H^\infty(W)\). (English) Zbl 0494.30041 J. Math. Kyoto Univ. 22, 175-190 (1982). MSC: 30H05 30D55 30F25 46J15 46J20 30C85 31A05 PDFBibTeX XMLCite \textit{C.-i. Matsuoka}, J. Math. Kyoto Univ. 22, 175--190 (1982; Zbl 0494.30041) Full Text: DOI
Senichkin, V. N. Subharmonic functions and analytic structure in the maximal ideal space of a uniform algebra. (English) Zbl 0432.46052 Math. USSR, Sb. 36, 111-126 (1980). MSC: 46J10 46J15 46J40 46J20 31A05 30H05 PDFBibTeX XMLCite \textit{V. N. Senichkin}, Math. USSR, Sb. 36, 111--126 (1980; Zbl 0432.46052) Full Text: DOI
Gamelin, T. W.; Sibony, N. Subharmonicity for uniform algebras. (English) Zbl 0422.46043 J. Funct. Anal. 35, 64-108 (1980). MSC: 46J20 46J10 31C05 46J15 PDFBibTeX XMLCite \textit{T. W. Gamelin} and \textit{N. Sibony}, J. Funct. Anal. 35, 64--108 (1980; Zbl 0422.46043) Full Text: DOI
Gamelin, T. W. Uniform algebras and Jensen measures. (English) Zbl 0418.46042 London Mathematical Society Lecture Note Series. 32. Cambridge etc.: Cambridge University Press. VIII, 162 p. £4.75 (1978). MSC: 46J10 46J20 46-02 46J15 31C05 42A50 PDFBibTeX XML
Koranyi, Adam; Vagi, Stephen Cauchy-Szegö integrals for systems of harmonic functions. (English) Zbl 0247.44006 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 26, 18196 (1972). MSC: 44A15 42B25 31B15 31B05 46E30 45E10 31B25 30C40 30G20 30D55 PDFBibTeX XMLCite \textit{A. Koranyi} and \textit{S. Vagi}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 26, 18196 (1972; Zbl 0247.44006) Full Text: Numdam EuDML