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arXiv · 2106.12216

Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type

Shuichi Sato
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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.

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Shuichi Sato. 2021-06-23. Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type. https://arxiv.org/abs/2106.12216

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