Weighted inequalities for rough square functions through extrapolation

• Autorzy: Javier Duoandikoetxea , Edurne Seijo
• Języki publikacji: EN

Abstrakty

EN

Weighted inequalities for some square functions are studied. L² results are proved first using the particular structure of the operator and then extrapolation of weights is applied to extend the results to other $L^{p}$ spaces. In particular, previous results for square functions with rough kernel are obtained in a simpler way and extended to a larger class of weights.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 149
• Numer: 3
• Strony: 239-252

Daty

wydano

2002

Twórcy

autor

Javier Duoandikoetxea

• Departamento de Matemáticas, Universidad del País Vasco, Euskal Herriko Unibertsitatea, Apartado 644, 48080 Bilbao, Spain

autor

Edurne Seijo

• Departamento de Matemática Aplicada, E. T. S. de Arquitectura, Universidad del País Vasco, Euskal Herriko Unibertsitatea, Apartado 799, 20080 Donostia, Spain

Identyfikatory

DOI

10.4064/sm149-3-2