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A Note on Two‐Weight Inequalities for Maximal Functions and Singular Integrals
Author(s) -
Cianchi Andrea
Publication year - 1997
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609396001798
Subject(s) - mathematics , singular integral operators , maximal operator , maximal function , mathematics subject classification , singular integral , operator (biology) , weight function , locally integrable function , pure mathematics , measurable function , type (biology) , inequality , integrable system , function (biology) , mathematical analysis , integral equation , biochemistry , chemistry , ecology , repressor , evolutionary biology , biology , transcription factor , bounded function , gene
We deal with weighted inequalities of the type [formula] where: T is either the Hardy–Littlewood maximal operator or a singular integral operator; G is any measurable subset of R n ; f is any measurable function, vanishing outside G , such that Tf is well‐defined; v and w are weights, that is, nonnegative locally integrable functions on G ; p, q ∈(1, ∞). 1991 Mathematics Subject Classification 42B20, 42B25.
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