Sobolev’s inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces-Reference-Cited by-同舟云学术

Sobolev’s inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces

Published:2013-01-07 Issue:1 Volume:2013 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Sawano Yoshihiro,Shimomura Tetsu

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/1029-242X-2013-12.pdf

Reference28 articles.

1. Morrey CB: On the solutions of quasi-linear elliptic partial differential equations. Trans. Am. Math. Soc. 1938, 43: 126–166. 10.1090/S0002-9947-1938-1501936-8

2. Peetre J:On the theory of L p , λ spaces. J. Funct. Anal. 1969, 4: 71–87. 10.1016/0022-1236(69)90022-6

3. Kokilashvili V: Weighted estimates for classical integral operators. In Nonlinear Analysis, Function Spaces and Appl. IV. Teubner, Leipzig; 1976:86–103.

4. Edmunds D, Kokilashvili V, Meskhi A: Bounded and Compact Integral Operators. Kluwer Academic, Dordrecht; 2002.

5. Adams DR: A note on Riesz potentials. Duke Math. J. 1975, 42: 765–778. 10.1215/S0012-7094-75-04265-9

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