Stein–Weiss inequalities on Herz spaces with variable exponent

This paper extends the celebrated Stein–Weiss inequalities to the Herz spaces with variable exponents. It is an extension of the classical Stein–Weiss inequalities and the Stein–Weiss inequalities on Lebesgue spaces with variable exponents. The Stein–Weiss inequalities to the Herz spaces with variable exponents are presented as the boundedness of the fractional integral operators on the power weighted Herz spaces with variable exponents.

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Publication Details

Journal
Zeitschrift für Analysis und ihre Anwendungen
Published
2025-04-11
DOI
https://doi.org/10.4171/zaa/1797
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
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article

Stein–Weiss inequalities on Herz spaces with variable exponent

Kwok‐Pun Ho
Zeitschrift für Analysis und ihre Anwendungen
Advanced Harmonic Analysis Research
article

Stein–Weiss inequalities on Herz spaces with variable exponent

Kwok‐Pun Ho
article en

Abstract

This paper extends the celebrated Stein–Weiss inequalities to the Herz spaces with variable exponents. It is an extension of the classical Stein–Weiss inequalities and the Stein–Weiss inequalities on Lebesgue spaces with variable exponents. The Stein–Weiss inequalities to the Herz spaces with variable exponents are presented as the boundedness of the fractional integral operators on the power weighted Herz spaces with variable exponents.

Zeitschrift für Analysis und ihre Anwendungen
Education University of Hong Kong (HK)
Reduced inequalities
Openalex Percentile: Top 90%
Advanced Harmonic Analysis Research
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Stein–Weiss inequalities on Herz spaces with variable exponent — Kwok‐Pun Ho · Zeitschrift für Analysis und ihre Anwendungen (2025) | TGRS Research Map | TGRS