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2008 (p, q)-PROPERTIES OF A GENERALIZED RIESZ POTENTIALS GENERATED BY THE GENERALIZED SHIFT OPERATORS
H¨useyin Yildirim, Mehmet Zeki Sarikaya
Taiwanese J. Math. 12(5): 1201-1209 (2008). DOI: 10.11650/twjm/1500574258

Abstract

In this paper, the inequality of Hardy-Littlewood-Sobolev type is established for the generalized Riesz potentials generated by the generalized shift operator with the functions in Sobolev spaces $W_{p,v}^{m}(\mathbf{R}_{n}^{+}).$

Citation

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H¨useyin Yildirim. Mehmet Zeki Sarikaya. "(p, q)-PROPERTIES OF A GENERALIZED RIESZ POTENTIALS GENERATED BY THE GENERALIZED SHIFT OPERATORS." Taiwanese J. Math. 12 (5) 1201 - 1209, 2008. https://doi.org/10.11650/twjm/1500574258

Information

Published: 2008
First available in Project Euclid: 20 July 2017

zbMATH: 1161.31301
MathSciNet: MR2431890
Digital Object Identifier: 10.11650/twjm/1500574258

Subjects:
Primary: 31B10 , 44A15 , 47B37

Keywords: Riesz potential , ‎shift operator , Sobolev space

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 5 • 2008
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