Refined inequalities in Besov and Triebel type spaces
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
University of Mohamed Boudiaf M'Sila
Abstract
In the context of homogeneous spaces of the type
(2)~/VA>0, reR,
we define the realized spaces associated with the Besov spaces B (R") (Besov-type B (R")) and Triebel-Lizorkin spaces F (R) (Triebel-Lizorkin-type (R")) they will be denoted by B(R) (B(R")) and (R") ((R")), respectively; here r:=s-n/p (and r:= s+nt-n/p). These spaces are subspaces of regular tempered distributions. We study the con-tinuity of pseudo-differential operators on F (R"). We establish functional characterizations by difference operators of the realized spaces associated with homogeneous Besov-type spaces. Triebel-
Description
Keywords
Littlewood-Paley decomposition, Besov spaces, Triebel-Lizorkin spaces, Pseudo differential operators, Realizations