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Atomic decomposition and Carleson measures for weighted mixed norm spaces by Peláez, José Ángel; Rättyä, Jouni; Sierra, Kian is a scholarly article available to read on EtoBox.

What is Atomic decomposition and Carleson measures for weighted mixed norm spaces about?

The purpose of this paper is to establish an atomic decomposition for functions in the weighted mixed norm space $A^{p,q}_\omega$ induced by a radial weight $\omega$ in the unit disc admitting a two-sided doubling condition. The obtained decomposition is further applied to characterize Carleson measures for $A^{p,q}_\omega$, and bounded differentiation operators $D^{(n)}(f)=f^{(n)}$ acting from $A^{p,q}_\omega$ to $L^p_\mu$, induced by a positive Borel measure $\mu$, on the full range of parameters $0<p,q,s<\infty$.

Author
Peláez, José Ángel; Rättyä, Jouni; Sierra, Kian
Published
2017
Language
EN

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