Characterizations of Besov-Type and Triebel–Lizorkin–Type Spaces via Averages on Balls
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DOI: 10.4153/cmb-2016-076-7
Abstract: Abstract Let $\ell \in \mathbb{N}$ and $\alpha \in (0,2\ell )$ . In this article, the authors establish equivalent characterizations of Besov-type spaces, Triebel–Lizorkin-type spaces, and Besov–Morrey spaces via the sequence ${{\{f-{{B}_{\ell ,{{2}^{-k}}}}f\}}_{k}}$ consisting of the… read more here.
Keywords: triebel lizorkin; besov type; characterizations besov; type spaces ... See more keywords
Some necessary conditions for functional calculus in Besov-type spaces
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DOI: 10.47974/jim-2032
Abstract: This paper is devoted to the study of composition operators, denoted as Tf(g) := f o g, under the scope of Besov-type spaces. Considering a complex variable function f acting on Besov-type space Bs,tp,q(ℝn) via… read more here.
Keywords: necessary conditions; besov; conditions functional; type spaces ... See more keywords