Continuity properties of Riesz potentials of Orlicz functions
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概要
- 論文の詳細を見る
In this paper we are concerned with Sobolev type inequalities for Riesz potentials of functions in Orlicz classes. As an application, we study continuity properties of Riesz potentials.
- 東北大学の論文
著者
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Mizuta Yoshihiro
Department of Mathematics, Graduate School of Science, Hiroshima University
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Shimomura Tetsu
Department Of Mathematics Faculty Of Integrated Arts And Sciences
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Mizuta Yoshihiro
Department Of Mathematics Graduate School Of Science Hiroshima University
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Mizuta Yoshihiro
Department Of Mathematics Faculty Of Integrated Arts And Sciences
関連論文
- An elementary proof of Sobolev embeddings for Riesz potentials of functions in $L^1$ Morrey spaces
- Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials
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- On the existence of harmonic functions in Lp
- On the boundary behavior of superharmonic functions in a half space
- Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials
- Continuity properties of Riesz potentials of Orlicz functions
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- Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent
- On the behavior at infinity of logarithmic potentials
- Growth properites of p-th hyperplane means of Green potentials in a half space
- Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials
- Sobolev's inequality for Riesz potentials in central Lorentz-Morrey spaces of variable exponent (Potential Theory and its Related Fields)
- Mean continuity for potentials of functions in Musielak-Orlicz spaces (Potential Theory and its Related Fields)
- CONTINUITY PROPERTIES OF RIESZ POTENTIALS OF ORLICZ FUNCTIONS
- Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials