Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type
Volume 267 / 2022
Studia Mathematica 267 (2022), 295-320
MSC: Primary 42B25; Secondary 46E35.
DOI: 10.4064/sm210819-19-3
Published online: 24 June 2022
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.
