A Characterization of Besov Spaces of Para-Accretive Type and Its Application ()
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 R
n. 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.
Share and Cite:
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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