A trace inequality for generalized potentials in Lebesgue spaces with variable exponent

A trace inequality for the generalized Riesz potentials Iα(x) is established in spaces Lp(x) defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces. As a corollary a criterion for a two-weighted inequality in classical Lebesgue spaces for potentials Iα(x) def...

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Bibliographic Details
Main Authors: David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2004/502312
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