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A NOTE ON TWO-WEIGHT INEQUALITIES FOR MAXIMAL FUNCTIONS AND SINGULAR INTEGRALS

Published online by Cambridge University Press:  01 January 1997

ANDREA CIANCHI
ANDREA CIANCHI
Affiliation:
Istituto di Matematica, Facoltà di Architettura, Università di Firenze, via dell' Agnolo 14, 50122 Firenze, Italy
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Abstract

We deal with weighted inequalities of the type

formula here

where:

T is either the Hardy–Littlewood maximal operator or a singular integral operator; G is any measurable subset of ℝn; ƒ is any measurable function, vanishing outside G, such that Tƒ is well-defined; v and w are weights, that is, nonnegative locally integrable functions on G;

p, q ∈(1, ∞).

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 1 , January 1997 , pp. 53 - 59
Copyright
© The London Mathematical Society 1997

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