Título inglés | L2 boundedness of a singular integral operator. |
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Título español | Acotabilidad L2 de un operador integral singular. |
Autor/es | Fan, Dashan ; Pan, Yibiao |
Organización | Dep. Math. Sci. Univ. Wisconsin-Milwaukee, Milwaukee (Wisconsin), Estados Unidos;Dep. Math. Statist. Univ. Pittsburgh, Pittsburgh (Pennsylvania), Estados Unidos |
Revista | 0214-1493 |
Publicación | 1997, 41 (2): 317-333, 12 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | 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 L2(Rn), n ≥ 2, and this bound is independent of the coefficients of Q(t). We also obtain certain Hardy type inequalities related to this operator. |
Clasificación UNESCO | 120213 |
Palabras clave español | Operadores integrales ; Integrales singulares ; Espacios de Hardy |
Código MathReviews | MR1485486 |
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