Herz-type Hardy spaces on Vilenkin groups and their applications |
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Authors: | FAN Dashan YANG Dachun |
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Institution: | Department of Mathematical Sciences,University of Wisconsin-Milwaukee,WI 53201,USA |
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Abstract: | Let 1<q<∞, 1 - 1/q ⩽a<∞ ,0<p<∞; and G be a locally compact Vilenkin group. The authors first introduce the general Herz-type Hardy
spaces
and
, then present the central atom or the central block and atom decompositions of these spaces. Using this characterization,
they discuss some properties of these spaces and investigate the boundedness on the spaces
of the fractional integral operators and the boundedness on the spaces
of the pseudo-differential operators of order zero. |
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Keywords: | Vilenkin group Herz space Hardy space weight atom block fractional integral |
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