Matsuoka, Katsuo; Mizuta, Yoshihiro; Shimomura, Tetsu Nonhomogeneous central Morrey-type spaces in \(L^{p(\cdot)}\) and weak estimates for the maximal and Riesz potential operators. (English) Zbl 1486.31015 Kyoto J. Math. 62, No. 1, 133-150 (2022). MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{K. Matsuoka} et al., Kyoto J. Math. 62, No. 1, 133--150 (2022; Zbl 1486.31015) Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Hardy-Sobolev inequality for Sobolev functions in central Herz-Morrey spaces. (English) Zbl 07746522 Math. Nachr. 294, No. 6, 1148-1159 (2021). MSC: 46E30 46E35 26D10 31B15 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Math. Nachr. 294, No. 6, 1148--1159 (2021; Zbl 07746522) Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Hardy-Sobolev inequalities for Sobolev functions in central Herz-Morrey spaces on the unit ball. (English) Zbl 1483.46025 Ann. Fenn. Math. 46, No. 2, 1031-1052 (2021). MSC: 46E30 31B15 26D10 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Ann. Fenn. Math. 46, No. 2, 1031--1052 (2021; Zbl 1483.46025) 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 Herz-Morrey spaces on the unit ball with variable exponent approaching \(1\) and double phase functionals. (English) Zbl 1477.46035 Nagoya Math. J. 242, 1-34 (2021). MSC: 46E30 42B25 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Nagoya Math. J. 242, 1--34 (2021; Zbl 1477.46035) 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, Y.; Shimomura, T. Hardy and Sobolev inequalities in the half space. (English) Zbl 1474.46063 Acta Math. Hung. 161, No. 1, 230-244 (2020). MSC: 46E30 31B15 26D10 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{T. Shimomura}, Acta Math. Hung. 161, No. 1, 230--244 (2020; Zbl 1474.46063) Full Text: DOI
Matsuoka, Katsuo; Mizuta, Yoshihiro; Shimomura, Tetsu Weak estimates for the maximal and Riesz potential operators on non-homogeneous central Morrey type spaces in \(L^1\) over metric measure spaces. (English) Zbl 1452.30033 Ann. Acad. Sci. Fenn., Math. 45, No. 2, 1187-1207 (2020). Reviewer: Scott Zimmerman (Marion) MSC: 30L99 31B15 46E35 PDFBibTeX XMLCite \textit{K. Matsuoka} et al., Ann. Acad. Sci. Fenn., Math. 45, No. 2, 1187--1207 (2020; Zbl 1452.30033) 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
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Duality of central Herz-Morrey-Musielak-Orlicz spaces of variable exponents. (English) Zbl 1421.46028 Collect. Math. 70, No. 1, 117-151 (2019). Reviewer: Andrea Scapellato (Catania) MSC: 46E30 PDFBibTeX XMLCite \textit{F.-Y. Maeda} et al., Collect. Math. 70, No. 1, 117--151 (2019; Zbl 1421.46028) Full Text: DOI
Mizuta, Yoshihiro; Yamauchi, Yusuke Spherical limits for Riesz potentials of functions in central generalized Orlicz-Morrey spaces on the unit ball. (English) Zbl 1409.31001 Complex Var. Elliptic Equ. 64, No. 2, 283-299 (2019). Reviewer: Paolo Musolino (Padova) MSC: 31B15 46E35 PDFBibTeX XMLCite \textit{Y. Mizuta} and \textit{Y. Yamauchi}, Complex Var. Elliptic Equ. 64, No. 2, 283--299 (2019; Zbl 1409.31001) 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
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Duality of non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces. Dedicated to Professor Hiroaki Aikawa on the occasion of his sixtieth birthday. (English) Zbl 1387.46029 Potential Anal. 47, No. 4, 447-460 (2017). MSC: 46E30 PDFBibTeX XMLCite \textit{F.-Y. Maeda} et al., Potential Anal. 47, No. 4, 447--460 (2017; Zbl 1387.46029) Full Text: DOI
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
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
Mizuta, Yoshihiro; Nekvinda, Aleš; Shimomura, Tetsu Optimal estimates for the fractional Hardy operator. (English) Zbl 1328.47049 Stud. Math. 227, No. 1, 1-19 (2015). MSC: 47G10 26A33 42B25 PDFBibTeX XMLCite \textit{Y. Mizuta} et al., Stud. Math. 227, No. 1, 1--19 (2015; Zbl 1328.47049) Full Text: DOI
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