(p, q)-PROPERTIES OF A GENERALIZED RIESZ POTENTIALS GENERATED BY THE GENERALIZED SHIFT OPERATORS

(p, q)-PROPERTIES OF A GENERALIZED RIESZ POTENTIALS GENERATED BY THE GENERALIZED SHIFT OPERATORS

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 $W_{p,v}^m\left( {R_n^ + } \right)$

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Veröffentlicht in:Taiwanese journal of mathematics 2008-08, Vol.12 (5), p.1201-1209
Hauptverfasser: Yildirim, Hüseyin, Sarikaya, Mehmet Zeki
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical constants
Mathematical functions
Mathematical inequalities
Mathematical theorems
Sobolev spaces
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Zusammenfassung: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 $W_{p,v}^m\left( {R_n^ + } \right)$
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500574258