Two-weight norm inequalities for the fractional maximal operator on spaces of homogeneous type

• Autorzy: Ana Bernardis , Oscar Salinas
• Języki publikacji: EN

Abstrakty

EN

We give a characterization of the pairs of weights (v,w), with w in the class $A_∞$ of Muckenhoupt, for which the fractional maximal function is a bounded operator from $L^p(X,vdμ)$ to $L^q(X,wdμ)$ when 1 < p ≤ q < ∞ and X is a space of homogeneous type.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 108
• Numer: 3
• Strony: 201-207

Daty

wydano

1994

otrzymano

1991-10-18

poprawiono

1993-07-06

Twórcy

autor

Ana Bernardis

• Programa Especial de Matemática Aplicada, Universidad Nacional del Litoral, Güemes 3450, 3000 Santa Fe, Argentina

autor

Oscar Salinas

• Programa Especial de Matemática Aplicada, Universidad Nacional del Litoral, Güemes 3450, 3000 Santa Fe, Argentina

Bibliografia

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