Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents

Kwok-Pun Ho

doi:10.36045/j.bbms.211026

Abstract

We establish the mapping properties of the fractional integral operators on the Herz-Hardy spaces with variable exponents by using extrapolation. In particular, our main results yield the mapping properties for the fractional integral operators on the Herz-Hardy spaces.

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Kwok-Pun Ho. "Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents." Bull. Belg. Math. Soc. Simon Stevin 28 (5) 723 - 736, september 2022. https://doi.org/10.36045/j.bbms.211026

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Published: september 2022

First available in Project Euclid: 16 September 2022

Digital Object Identifier: 10.36045/j.bbms.211026

Subjects:

Primary: 42B20 , 42B35 , 46E30

Keywords: extrapolation , fractional integral operators , Hardy space , Herz spaces , homogeneous spaces , variable exponents

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