Hokkaido Mathematical Journal

Boundedness of maximal operators and Sobolev's theorem for non-homogeneous central Morrey spaces of variable exponent

Yoshihiro MIZUTA, Takao OHNO, and Tetsu SHIMOMURA

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Abstract

Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator in non-homogeneous central Morrey spaces of variable exponent. Further, we give Sobolev's inequality and Trudinger's exponential integrability for generalized Riesz potentials.

Article information

Source
Hokkaido Math. J., Volume 44, Number 2 (2015), 185-201.

Dates
First available in Project Euclid: 1 August 2016

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1470053290

Digital Object Identifier
doi:10.14492/hokmj/1470053290

Mathematical Reviews number (MathSciNet)
MR3532106

Zentralblatt MATH identifier
1334.31004

Subjects
Primary: 31B15: Potentials and capacities, extremal length 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems

Keywords
Maximal operator non-homogeneous central Morrey spaces of variable exponent Riesz potentials Sobolev's theorem Sobolev's inequality Trudinger's exponential integrability

Citation

MIZUTA, Yoshihiro; OHNO, Takao; SHIMOMURA, Tetsu. Boundedness of maximal operators and Sobolev's theorem for non-homogeneous central Morrey spaces of variable exponent. Hokkaido Math. J. 44 (2015), no. 2, 185--201. doi:10.14492/hokmj/1470053290. https://projecteuclid.org/euclid.hokmj/1470053290


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