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$L^p$ continuity of projectors of weighted harmonic Bergman spaces

Identificadors del recurs

http://www.raco.cat/index.php/CollectaneaMathematica/article/view/56491

2038-4815

0010-0757

Procedència

(RACO. Revistes Catalanes amb Accés Obert)

Fitxa

Títol:: $L^p$ continuity of projectors of weighted harmonic Bergman spaces
Descripció:: In this paper we study spaces $A^p(w)$ consisting of harmonic functions in $B^n$ the unit ball in $\mathbb{R}^n$ and belonging to $L^p(w)$, where $dw(x)=w(1-\vert x\vert)dx$ and $w:(0,1]\rightarrow\mathbb{R}^+$ will denote a continuous integrable function. For weights satisfying certain Dini type conditions we construct families of projections of $L^p(w)$ onto $A^p(w)$. We use this to get for $1<p<\infty$ and $\frac{1}{p} + \frac{1}{p'} =1$, a duality $A^p(w)^\ast=A^{p'}(w')$, where $w'$ depends on $p$ and $w$.
Font:: RACO (Revistes Catalanes amb Accés Obert)
Idioma:: English
Relació:: Collectanea Mathematica, 2000, 2000: Vol.: 51 Núm.: 1, p. 49-58; http://www.raco.cat/index.php/CollectaneaMathematica/article/view/56491/66268
Autor/Productor:: Blasco, Óscar; Pérez-Esteva, Salvador
Editor:: Universitat de Barcelona
Drets:: info:eu-repo/semantics/openAccess
Data:: 2000
Tipus de recurs:: info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion
Format:: application/pdf

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