Hokkaido Mathematical Journal

Note on the integral operators in weighted Morrey spaces

Takeshi IIDA

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We investigate the boundedness of the maximal operator, the fractional maximal operator, and the fractional integral operator within the framework of weighted Morrey spaces. In particular, we consider the endpoint cases. This result can be recognized as the endpoint case of two weight multilinear norm inequality [4, Theorem 3.3] and, as a special case, recovers the Olsen inequality with small parameters [9, Examples 4.7].

Article information

Hokkaido Math. J., Volume 48, Number 2 (2019), 327-343.

First available in Project Euclid: 11 July 2019

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A33: Fractional derivatives and integrals 42B25: Maximal functions, Littlewood-Paley theory

fractional maximal operator fractional integral operator weight Morrey space


IIDA, Takeshi. Note on the integral operators in weighted Morrey spaces. Hokkaido Math. J. 48 (2019), no. 2, 327--343. doi:10.14492/hokmj/1562810512. https://projecteuclid.org/euclid.hokmj/1562810512

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