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Sobolev spaces with non-isotropic dilations and
square functions of Marcinkiewicz type
We consider the weighted Sobolev spaces associated with nonisotropic dilations of Calderón-Torchinsky and characterize the spaces by the square functions of Marcinkiewicz type including those defined with repeated uses of averaging operation.
期刊介绍：
The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.
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