Artículo
Weighted inequalities for some integral operators with rough kernels
Fecha de publicación:
04/2014
Editorial:
Versita
Revista:
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS - (Print)
ISSN:
1895-1074
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) \cdots k_m \left( {x - A_m y} \right),$$ $$k_i \left( x \right) = {{\Omega _i \left( x \right)} \mathord{\left/ {\vphantom {{\Omega _i \left( x \right)} {\left| x \right|}}} \right. \kern-\nulldelimiterspace} {\left| x \right|}}^{{n \mathord{\left/ {\vphantom {n {q_i }}} \right. \kern-\nulldelimiterspace} {q_i }}}$$ where Ωi: ℝn → ℝ are homogeneous functions of degree zero, satisfying a size and a Dini condition, A i are certain invertible matrices, and n/q 1 +…+n/q m = n−α, 0 ≤ α < n. We obtain the appropriate weighted L p-L q estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators.
Palabras clave:
Fractional Operators
,
Calderón-Zygmund Operators
,
Bmo
,
Muckenhoupt Weights
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Urciuolo, Marta; Riveros, Maria Silvina; Weighted inequalities for some integral operators with rough kernels; Versita; CENTRAL EUROPEAN JOURNAL OF MATHEMATICS - (Print); 12; 4; 4-2014; 636-647
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