Ohno, Takao; Shimomura, Tetsu Continuity of generalized Riesz potentials for double phase functionals with variable exponents over metric measure spaces. (English) Zbl 1521.31010 Taiwanese J. Math. 27, No. 4, 813-832 (2023). MSC: 31B15 31E05 46E35 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Taiwanese J. Math. 27, No. 4, 813--832 (2023; Zbl 1521.31010) Full Text: DOI Link
Ohno, Takao; Shimomura, Tetsu Continuity of Riesz potentials for double phase functionals with variable exponents. (English) Zbl 07722742 Publ. Math. Debr. 103, No. 1-2, 171-186 (2023). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Publ. Math. Debr. 103, No. 1--2, 171--186 (2023; Zbl 07722742) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Hardy-Littlewood-Sobolev theorem for variable Riesz potentials. (English) Zbl 1520.46014 Result. Math. 78, No. 3, Paper No. 100, 22 p. (2023). MSC: 46E35 46E30 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Result. Math. 78, No. 3, Paper No. 100, 22 p. (2023; Zbl 1520.46014) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Sobolev embeddings in grand Morrey spaces. (English) Zbl 1523.31010 Math. Nachr. 294, No. 12, 2367-2381 (2021). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Math. Nachr. 294, No. 12, 2367--2381 (2021; Zbl 1523.31010) Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Continuity of generalized Riesz potentials for double phase functionals with variable exponents. (English) Zbl 1483.31026 Glas. Mat., III. Ser. 56, No. 2, 329-341 (2021). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Glas. Mat., III. Ser. 56, No. 2, 329--341 (2021; Zbl 1483.31026) Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Continuity of generalized Riesz potentials for double phase functionals. (English) Zbl 1477.31027 Math. Inequal. Appl. 24, No. 3, 715-723 (2021). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Math. Inequal. Appl. 24, No. 3, 715--723 (2021; Zbl 1477.31027) Full Text: DOI
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Boundedness of maximal operator, Hardy operator and Sobolev’s inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces. (English) Zbl 1477.31025 Hiroshima Math. J. 51, No. 1, 13-55 (2021). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{F.-Y. Maeda} et al., Hiroshima Math. J. 51, No. 1, 13--55 (2021; Zbl 1477.31025) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Weak estimates for the maximal and Riesz potential operators in central Herz-Morrey spaces on the unit ball. (English) Zbl 1472.31008 Z. Anal. Anwend. 40, No. 2, 183-207 (2021). Reviewer: Jie Xiao (St. John’s) MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Z. Anal. Anwend. 40, No. 2, 183--207 (2021; Zbl 1472.31008) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Boundedness of the maximal and potential operators in Herz-Morrey type spaces. (English) Zbl 1460.31016 Complex Var. Elliptic Equ. 65, No. 9, 1575-1589 (2020). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Complex Var. Elliptic Equ. 65, No. 9, 1575--1589 (2020; Zbl 1460.31016) Full Text: DOI
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu Campanato-Morrey spaces for the double phase functionals. (English) Zbl 1452.31010 Rev. Mat. Complut. 33, No. 3, 817-834 (2020). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Rev. Mat. Complut. 33, No. 3, 817--834 (2020; Zbl 1452.31010) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu; Yamauchi, Yusuke Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions. (English) Zbl 1477.31026 Math. Nachr. 293, No. 6, 1156-1173 (2020). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Math. Nachr. 293, No. 6, 1156--1173 (2020; Zbl 1477.31026) Full Text: DOI
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu Campanato-Morrey spaces for the double phase functionals with variable exponents. (English) Zbl 1441.31004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111827, 18 p. (2020). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111827, 18 p. (2020; Zbl 1441.31004) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces. (English) Zbl 1421.31014 Complex Var. Elliptic Equ. 64, No. 9, 1437-1456 (2019). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Complex Var. Elliptic Equ. 64, No. 9, 1437--1456 (2019; Zbl 1421.31014) Full Text: DOI
Hashimoto, Daiki; Ohno, Takao; Shimomura, Tetsu Boundedness of generalized fractional integral operators on Orlicz spaces near \(L^1\) over metric measure spaces. (English) Zbl 1524.31010 Czech. Math. J. 69, No. 1, 207-223 (2019). MSC: 31B15 46E30 46E35 26A33 PDFBibTeX XMLCite \textit{D. Hashimoto} et al., Czech. Math. J. 69, No. 1, 207--223 (2019; Zbl 1524.31010) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Boundary growth of generalized Riesz potentials on the unit ball in the variable settings. (English) Zbl 1421.31013 Ann. Acad. Sci. Fenn., Math. 44, No. 1, 125-140 (2019). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Ann. Acad. Sci. Fenn., Math. 44, No. 1, 125--140 (2019; Zbl 1421.31013) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Sobolev’s inequalities for Herz-Morrey-Orlicz spaces on the half space. (English) Zbl 1388.31009 Math. Inequal. Appl. 21, No. 2, 433-453 (2018). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Math. Inequal. Appl. 21, No. 2, 433--453 (2018; Zbl 1388.31009) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Growth properties of potentials in central Morrey-Orlicz spaces on the unit ball. (English) Zbl 1396.31004 Ann. Acad. Sci. Fenn., Math. 43, No. 1, 21-46 (2018). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Ann. Acad. Sci. Fenn., Math. 43, No. 1, 21--46 (2018; Zbl 1396.31004) Full Text: DOI Link
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces. (English) Zbl 1375.31008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 162, 49-75 (2017). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 162, 49--75 (2017; Zbl 1375.31008) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu; Yamauchi, Yusuke Growth properties near the origin for generalized Riesz potentials. (English) Zbl 1367.31009 J. Math. Anal. Appl. 454, No. 1, 285-302 (2017). MSC: 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., J. Math. Anal. Appl. 454, No. 1, 285--302 (2017; Zbl 1367.31009) Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Boundedness of maximal operators and Sobolev’s inequality on non-homogeneous central Musielak-Orlicz-Morrey spaces. (English) Zbl 1354.31008 Mediterr. J. Math. 13, No. 5, 3341-3357 (2016). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Mediterr. J. Math. 13, No. 5, 3341--3357 (2016; Zbl 1354.31008) Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces. (English) Zbl 1413.46037 Czech. Math. J. 66, No. 2, 371-394 (2016). Reviewer: Olli Martio (Helsinki) MSC: 46E35 31B15 30L99 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Czech. Math. J. 66, No. 2, 371--394 (2016; Zbl 1413.46037) Full Text: DOI Link
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Boundedness of maximal operators and Sobolev’s theorem for non-homogeneous central Morrey spaces of variable exponent. (English) Zbl 1334.31004 Hokkaido Math. J. 44, No. 2, 185-201 (2015). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Hokkaido Math. J. 44, No. 2, 185--201 (2015; Zbl 1334.31004) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao Boundedness of the maximal operator and Sobolev’s inequality on non-homogeneous central Herz-Morrey-Orlicz spaces. (English) Zbl 1325.31002 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 325-347 (2015). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Ohno}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 325--347 (2015; Zbl 1325.31002) Full Text: DOI
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces. (English) Zbl 1327.31017 Ann. Acad. Sci. Fenn., Math. 40, No. 1, 403-426 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{F.-Y. Maeda} et al., Ann. Acad. Sci. Fenn., Math. 40, No. 1, 403--426 (2015; Zbl 1327.31017) Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Musielak-Orlicz-Sobolev spaces on metric measure spaces. (English) Zbl 1363.46027 Czech. Math. J. 65, No. 2, 435-474 (2015). Reviewer: René L. Schilling (Dresden) MSC: 46E35 46E30 31B15 30L99 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Czech. Math. J. 65, No. 2, 435--474 (2015; Zbl 1363.46027) Full Text: DOI Link
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 Herz-Morrey spaces of variable exponent, Riesz potential operator and duality. (English) Zbl 1312.31013 Complex Var. Elliptic Equ. 60, No. 2, 211-240 (2015). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Ohno}, Complex Var. Elliptic Equ. 60, No. 2, 211--240 (2015; Zbl 1312.31013) Full Text: DOI
Futamura, Toshihide; Mizuta, Yoshihiro; Ohno, Takao Sobolev’s theorem for Riesz potentials of functions in grand Morrey spaces of variable exponent. (English) Zbl 1332.31007 Kato, Mikio (ed.) et al., Proceedings of the 4th international symposium on Banach and function spaces IV (ISBFS 2012), Kitakyushu, Japan, September 12–15, 2012. Yokohama: Yokohama Publishers (ISBN 978-4-946552-48-9/hbk). 353-365 (2014). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{T. Futamura} et al., in: Proceedings of the 4th international symposium on Banach and function spaces IV (ISBFS 2012), Kitakyushu, Japan, September 12--15, 2012. Yokohama: Yokohama Publishers. 353--365 (2014; Zbl 1332.31007)
Ohno, Takao; Shimomura, Tetsu Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces. (English) Zbl 1340.31009 Czech. Math. J. 64, No. 1, 209-228 (2014). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{T. Ohno} and \textit{T. Shimomura}, Czech. Math. J. 64, No. 1, 209--228 (2014; Zbl 1340.31009) Full Text: DOI Link
Futamura, Toshihide; Mizuta, Yoshihiro; Ohno, Takao Spherical means of super-polyharmonic functions in the unit ball. (English) Zbl 1300.31009 Hiroshima Math. J. 44, No. 2, 235-245 (2014). MSC: 31B30 31B05 31B15 PDFBibTeX XMLCite \textit{T. Futamura} et al., Hiroshima Math. J. 44, No. 2, 235--245 (2014; Zbl 1300.31009) Full Text: Euclid
Futamura, Toshihide; Mizuta, Yoshihiro; Ohno, Takao Riesz decomposition for super-polyharmonic functions in the punctured unit ball. (English) Zbl 1299.31004 Stud. Sci. Math. Hung. 51, No. 1, 1-16 (2014). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B30 31B05 31B15 PDFBibTeX XMLCite \textit{T. Futamura} et al., Stud. Sci. Math. Hung. 51, No. 1, 1--16 (2014; Zbl 1299.31004) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao Sobolev’s theorem and duality for Herz-Morrey spaces of variable exponent. (English) Zbl 1288.31010 Ann. Acad. Sci. Fenn., Math. 39, No. 1, 389-416 (2014). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Ohno}, Ann. Acad. Sci. Fenn., Math. 39, No. 1, 389--416 (2014; Zbl 1288.31010) Full Text: DOI
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)
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Mean continuity for potentials of functions in Musielak-Orlicz spaces. (English) Zbl 1303.46022 RIMS Kôkyûroku Bessatsu B43, 81-100 (2013). MSC: 46E30 31B15 PDFBibTeX XMLCite \textit{F.-Y. Maeda} et al., RIMS Kôkyûroku Bessatsu B43, 81--100 (2013; Zbl 1303.46022)
Mizuta, Yoshihiro; Ohno, Takao Orlicz capacity of balls. (English) Zbl 1316.46031 Boivin, André (ed.) et al., Complex analysis and potential theory. Proceedings of the international conference in honour of Kohur N. GowriSankaran and Paul M. Gauthier, Montreal, Canada, June 20–23, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9173-5/pbk). CRM Proceedings and Lecture Notes 55, 225-233 (2012). MSC: 46E30 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Ohno}, in: Complex analysis and potential theory. Proceedings of the international conference in honour of Kohur N. GowriSankaran and Paul M. Gauthier, Montreal, Canada, June 20--23, 2011. Providence, RI: American Mathematical Society (AMS). 225--233 (2012; Zbl 1316.46031)
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
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu Sobolev’s inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent. (English) Zbl 1294.46037 Kato, Mikio (ed.) et al., Proceedings of the 3rd international symposium on Banach and function spaces (ISBFS 2009), Kitakyushu, Japan, September 14–17, 2009. Yokohama: Yokohama Publishers (ISBN 978-4-946552-43-4/hbk). 409-419 (2011). MSC: 46E35 31B15 42B25 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., in: Proceedings of the 3rd international symposium on Banach and function spaces (ISBFS 2009), Kitakyushu, Japan, September 14--17, 2009. Yokohama: Yokohama Publishers. 409--419 (2011; Zbl 1294.46037)
Futamura, T.; Mizuta, Y.; Ohno, T.; Shimomura, T. Orlicz-Sobolev capacity of balls. (English) Zbl 1277.46016 Ill. J. Math. 55, No. 2, 543-553 (2011). MSC: 46E30 31B15 PDFBibTeX XMLCite \textit{T. Futamura} et al., Ill. J. Math. 55, No. 2, 543--553 (2011; Zbl 1277.46016) Full Text: Euclid
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Capacity for potentials of functions in Musielak-Orlicz spaces. (English) Zbl 1238.46020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6231-6243 (2011). Reviewer: Julian Musielak (Poznań) MSC: 46E30 31B15 PDFBibTeX XMLCite \textit{F.-Y. Maeda} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6231--6243 (2011; Zbl 1238.46020) Full Text: DOI
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents. (English) Zbl 1228.31004 Complex Var. Elliptic Equ. 56, No. 7-9, 671-695 (2011). Reviewer: Dimitrios Betsakos (Thessaloniki) MSC: 31B15 46E30 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Complex Var. Elliptic Equ. 56, No. 7--9, 671--695 (2011; Zbl 1228.31004) Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Weighted Orlicz-Riesz capacity of balls. (English) Zbl 1219.46034 Proc. Am. Math. Soc. 138, No. 12, 4291-4302 (2010). Reviewer: George O. Okikiolu (London) MSC: 46E35 46E30 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Proc. Am. Math. Soc. 138, No. 12, 4291--4302 (2010; Zbl 1219.46034) Full Text: DOI
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\). (English) Zbl 1175.31005 Hiroshima Math. J. 38, No. 3, 425-436 (2008). Reviewer: Marius Ghergu (Dublin) MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Hiroshima Math. J. 38, No. 3, 425--436 (2008; Zbl 1175.31005)
Ohno, Takao Continuity properties for logarithmic potentials of functions in Morrey spaces of variable exponent. (English) Zbl 1173.31003 Hiroshima Math. J. 38, No. 3, 363-383 (2008). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 46E30 PDFBibTeX XMLCite \textit{T. Ohno}, Hiroshima Math. J. 38, No. 3, 363--383 (2008; Zbl 1173.31003)