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

Autor: David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi
Jazyk: angličtina
Rok vydání: 2004
Předmět:
Zdroj: Journal of Function Spaces and Applications, Vol 2, Iss 1, Pp 55-69 (2004)
Druh dokumentu: article
ISSN: 0972-6802
DOI: 10.1155/2004/502312
Popis: 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) defined on fractal sets is derived.
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