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

Ana Bernardis; Oscar Salinas

ArticleOriginal scientific text

Title

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

Authors ¹, ¹

Affiliations

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

Abstract

We give a characterization of the pairs of weights (v,w), with w in the class

A_{\infty}

of Muckenhoupt, for which the fractional maximal function is a bounded operator from

L^{p} (X, v d μ)

to

L^{q} (X, w d μ)

when 1 < p ≤ q < ∞ and X is a space of homogeneous type.

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Title

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

Affiliations

Abstract

Bibliography