David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi, "A trace inequality for generalized potentials in Lebesgue spaces with variable exponent", Journal of Function Spaces, vol. 2, Article ID 502312, 15 pages, 2004. https://doi.org/10.1155/2004/502312
A trace inequality for generalized potentials in Lebesgue spaces with variable exponent
A trace inequality for the generalized Riesz potentials is established in spaces 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 defined on fractal sets is derived.
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