@article{Ghobber2025, 
author = {Saifallah Ghobber and Hatem Mejjaoli},
title = {Hardy-type spaces and Hardy-type inequalities},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {15264-15293},
keywords = {Hardy-type inequalities, Hausdorff operators, maximal Bochner-Riesz operators},
url = {https://www.sciopen.com/article/10.3934/math.2025684},
doi = {10.3934/math.2025684},
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.}
}