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1. CMB 2010 (vol 54 pp. 100)
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On the Generalized Marcinkiewicz Integral Operators with Rough Kernels A class of generalized Marcinkiewicz
integral operators is introduced, and, under rather weak conditions
on the integral kernels, the boundedness of such operators on $L^p$
and Triebel--Lizorkin spaces is established.
Keywords: Marcinkiewicz integral, Littlewood--Paley theory, Triebel--Lizorkin space, rough kernel, product domain Categories:42B20, , , , , 42B25, 42B30, 42B99 |