Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type
Functional Analysis
2022-06-22 v2 Classical Analysis and ODEs
Abstract
We consider the weighted Sobolev spaces associated with non-isotropic dilations of Calder\'on-Torchinsky and characterize the spaces by the square functions of Marcinkiewicz type including those defined with repeated uses of averaging operation.
Keywords
Cite
@article{arxiv.2106.12216,
title = {Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type},
author = {Shuichi Sato},
journal= {arXiv preprint arXiv:2106.12216},
year = {2022}
}
Comments
misprints corrected; 22 pages