Work

Hardy-type spaces and Hardy-type inequalities

Year: 2025

Type: article

Abstract: In the present paper, we defined and then studied Hardy spaces related to spherical mean operators. We proved Hardy-type inequalities, then we showed refined Sobolev-type inequalities between homogeneous Riesz-type spaces, homogeneous Besov-type spaces, and Lorentz-type spaces. Next, we introduced and studied Hausdorff operators on generalized Hardy spaces. Finally, we investigated maximal Bochner-Riesz operators on generalized Hardy spaces.

Source: AIMS Mathematics

DOI: 10.3934/math.2025684

Authors: Saifallah Ghobber, Hatem Mejjaoli

Institutions: King Faisal University, Taibah University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: King Faisal University