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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2004 Volume 45, Number 5, Pages 1142–1159 (Mi smj1125)
This article is cited in 1 paper

Continuity of multilinear operators in weighted Herz spaces with extreme exponents

L. Liu

Changsha University of Science and Technology

Abstract: Continuity is obtained of some multilinear operators related to certain integral operators for the weighted Herz spaces with extreme exponents. The operators include the Littlewood?Paley and Marcinkiewicz operators.

Keywords: multilinear operator, Littlewood–Paley operator, Marcinkiewicz integral operator, $BMO$, Herz space, Herz-type Hardy space.

UDC: 517.98

Received: 14.08.2003


 English version: Siberian Mathematical Journal, 2004, 45:5, 940–955

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