Characterization of $$H^1$$H1 Sobolev Spaces by Square Functions of Marcinkiewicz Type
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DOI: 10.1007/s00041-018-9618-2
Abstract: We establish characterization of $$H^1$$H1 Sobolev spaces by certain square functions of Marcinkiewicz type. The square functions are related to the Lusin area integrals. Also, in the one dimensional case, the non-periodic version of the… read more here.
Keywords: marcinkiewicz type; characterization sobolev; sobolev spaces; square functions ... See more keywords