scholarly journals Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent

2008 ◽  
Vol 60 (2) ◽  
pp. 583-602 ◽  
Author(s):  
Yoshihiro MIZUTA ◽  
Tetsu SHIMOMURA
Keyword(s):  
Variable Exponent ◽  
Morrey Spaces ◽  
Riesz Potentials ◽  
Sobolev Embeddings

Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents

2011 ◽  
Vol 56 (7-9) ◽  
pp. 671-695 ◽  
Author(s):  
Yoshihiro Mizuta ◽  
Eiichi Nakai ◽  
Takao Ohno ◽  
Tetsu Shimomura
Keyword(s):  
Morrey Spaces ◽  
Variable Exponents ◽  
Riesz Potentials ◽  
Sobolev Embeddings

scholarly journals Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey Spaces over Nondoubling Measure Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Yoshihiro Sawano ◽  
Tetsu Shimomura
Keyword(s):  
Morrey Spaces ◽  
Riesz Potentials ◽  
Sobolev Embeddings ◽  
Measure Spaces ◽  
Nondoubling Measure

Our aim in this paper is to deal with the Sobolev embeddings for generalized Riesz potentials of functions in Morrey spaces over nondoubling measure spaces.

Weighted Morrey spaces of variable exponent and Riesz potentials

2014 ◽  
Vol 288 (8-9) ◽  
pp. 984-1002 ◽  
Author(s):  
Yoshihiro Mizuta ◽  
Tetsu Shimomura
Keyword(s):  
Variable Exponent ◽  
Morrey Spaces ◽  
Riesz Potentials ◽  
Weighted Morrey Spaces

scholarly journals An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces $L^{1,\nu,\beta}(G)$

2008 ◽  
Vol 38 (3) ◽  
pp. 425-436 ◽  
Author(s):  
Yoshihiro Mizuta ◽  
Eiichi Nakai ◽  
Takao Ohno ◽  
Tetsu Shimomura
Keyword(s):  
Elementary Proof ◽  
Morrey Spaces ◽  
Riesz Potentials ◽  
Sobolev Embeddings
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