Continuity of Generalized Riesz Potentials for Double Phase Functionals with Variable Exponents over Metric Measure Spaces

被引：0
作者：
Ohno, Takao [1 ]
Shimomura, Tetsu [2 ]
机构：
[1] Oita Univ, Fac Educ, Oita 8701192, Japan
[2] Hiroshima Univ, Grad Sch Humanities & Social Sci, Dept Math, Hiroshima Hiroshima 7398524, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2023年 / 27卷 / 04期
基金：
日本学术振兴会;
关键词：
  Riesz potentials; Morrey spaces; double phase functionals; variable exponents; continuity; non-doubling measure; SOBOLEVS INEQUALITY; MORREY SPACES; ORLICZ SPACES; REGULARITY;
D O I：
10.11650/tjm/230206
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our aim in this paper is to deal with the continuity of generalized Riesz potentials I rho,tau f of functions in Morrey spaces L phi,nu(center dot),kappa(X) of double phase functionals with variable exponents over bounded non-doubling metric measure spaces. What is new in this paper is that rho depends on x E X.
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页码：813 / 832
页数：20
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