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A Sharp L p Inequality for Dyadic A 1 Weights in R n
Author(s) -
Melas Antonios D.
Publication year - 2005
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/s0024609305004765
Subject(s) - mathematics , dimension (graph theory) , linearization , operator (biology) , pure mathematics , constant (computer programming) , inequality , mathematics subject classification , discrete mathematics , combinatorics , calculus (dental) , mathematical analysis , nonlinear system , biochemistry , chemistry , physics , repressor , quantum mechanics , computer science , transcription factor , gene , programming language , medicine , dentistry
The exact best possible range of p is determined such that any dyadic A 1 weight w on R n satisfies a reverse Hölder inequality for p , which depends on the dimension n and the corresponding A 1 constant of w . The proof is based on an effective linearization of the dyadic maximal operator applied to dyadic step functions. 2000 Mathematics Subject Classification 42B25.