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Hardy-Littlewood-Sobolev inequality on product spaces

Published 30 Dec 2018 in math.CA | (1901.00830v6)

Abstract: We study a family of fractional integral operator defined on an homogeneous space with a "rectangle doubling" measure. As a result, we give an extension of the classical Hardy-Littlewood-Sobolev theorem to a multi-parameter setting.

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