The Hardy-Littlewood-Sobolev inequality for (beta, gamma)-distance Riesz potentials


Cinar I., DURU H.

APPLIED MATHEMATICS AND COMPUTATION, vol.153, no.3, pp.757-762, 2004 (SCI-Expanded) identifier identifier

Abstract

The generalized with respect to (β,γ)-distance Riesz potential defined on Sobolev space Full-size image (<1 K) is constructed and for this potential the theorem of Hardy–Littlewood–Sobolev type has been established.

The generalized with respect to (beta, gamma)-distance Riesz potential defined on Sobolev space W-p(l)(R-n) is constructed and for this potential the theorem of Hardy-Littlewood-Sobolev type has been established. (C) 2003 Elsevier Inc. All rights reserved.