A Characterization of Besov Spaces of Para-Accretive Type and Its Application

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DOI: 10.4236/am.2017.84046    1,160 Downloads   2,195 Views  

ABSTRACT

There are two folds in this article. One fold is to characterize the Besov spaces of para-accretive type , which reduces to the classical Besov spaces when the para-accretive function is constant, by using a discrete Calderón-type reproducing formula and Plancherel-Pôlya-type inequality associated to a para-accretive function b in Rn. The other is to show that a generalized singular integral operator T with extends to be bounded from for and , where ε is the regularity exponent of the kernel of T.

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Li, J. and Wang, K. (2017) A Characterization of Besov Spaces of Para-Accretive Type and Its Application. Applied Mathematics, 8, 590-606. doi: 10.4236/am.2017.84046.

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