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Interplay Between Distributional Estimates and Boundedness in Harmonic Analysis
Author(s) -
Bilyk Dmitriy,
Grafakos Loukas
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/s0024609304004035
Subject(s) - mathematics , infinity , exponential function , mathematics subject classification , pure mathematics , harmonic , exponential growth , mathematical analysis , physics , quantum mechanics
In this paper, a proof is given that certain boundedness properties of operators yield distributional estimates that have exponential decay at infinity. Such distributional estimates imply local exponential integrability, and apply to many operators such as m ‐linear Calderón–Zygmund operators and their maximal counterparts. 2000 Mathematics Subject Classification 46B70, 42B99.