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Portugaliae Mathematica

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Volume 76, Issue 3/4, 2019, pp. 301–310
DOI: 10.4171/PM/2037

Published online: 2020-07-15

Stein–Weiss inequalities for radial local Morrey spaces

Kwok-Pun Ho[1]

(1) The Education University of Hong Kong, China

This paper establishes a generalization of the celebrated Stein–Weiss inequalities for the fractional integral operators on radial functions in local Morrey spaces. We find that some conditions can be relaxed for the Stein–Weiss inequalities on radial local Morrey spaces.

Keywords: Stein–Weiss inequalities, fractional integral operators, local Morrey spaces

Ho Kwok-Pun: Stein–Weiss inequalities for radial local Morrey spaces. Port. Math. 76 (2019), 301-310. doi: 10.4171/PM/2037