Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type
arXiv:2106.12216
Abstract
We consider the weighted Sobolev spaces associated with non-isotropic dilations of Calderón-Torchinsky and characterize the spaces by the square functions of Marcinkiewicz type including those defined with repeated uses of averaging operation.
misprints corrected; 22 pages