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$L^2$-boundedness of a singular integral operator
Identificadors del recurs
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/37897
2014-4350
0214-1493
Procedència
(RACO. Revistes Catalanes amb Accés Obert)

Fitxa

Títol:
$L^2$-boundedness of a singular integral operator
Descripció:
In this paper we study a singular integral operator $T$ with rough kernel. This operator has singularity along sets of the form $\{x=Q(|y|)y'\}$, where $Q(t)$ is a polynomial satisfying $Q(0)=0$. We prove that $T$ is a bounded operator in the space $L^2(R^n)$, $n\ge 2$, and this bound is independent of the coefficients of $Q(t)$. We also obtain certain Hardy type inequalities related to this operator.
Font:
RACO (Revistes Catalanes amb Accés Obert)
Idioma:
English
Relació:
Publicacions Matemàtiques, 1997, Vol. 41, Núm. 2 (1997): Vol.: 41 Núm.: 2, p. 317-333
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/37897/40441
Autor/Productor:
Fan, D.
Pan, Yibiao
Editor:
Universitat Autònoma de Barcelona
Drets:
info:eu-repo/semantics/openAccess
Data:
1997
Tipus de recurs:
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Format:
application/pdf

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