Endpoint multiplier theorems of Marcinkiewicz type.

Terence Tao; James Wright

Revista Matemática Iberoamericana (2001)

  • Volume: 17, Issue: 3, page 521-558
  • ISSN: 0213-2230

Abstract

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We establish sharp (H1,L1,q) and local (L logrL,L1,q) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H1 to L1,∞ and L log1/2L to L1,∞, and that these estimates are sharp.

How to cite

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Tao, Terence, and Wright, James. "Endpoint multiplier theorems of Marcinkiewicz type.." Revista Matemática Iberoamericana 17.3 (2001): 521-558. <http://eudml.org/doc/39657>.

@article{Tao2001,
abstract = {We establish sharp (H1,L1,q) and local (L logrL,L1,q) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H1 to L1,∞ and L log1/2L to L1,∞, and that these estimates are sharp.},
author = {Tao, Terence, Wright, James},
journal = {Revista Matemática Iberoamericana},
keywords = {Análisis armónico; Multiplicadores; Espacio de Orlicz; Espacios de Hardy; endpoint estimate; weak type estimate; Marcinkiewicz multipliers},
language = {eng},
number = {3},
pages = {521-558},
title = {Endpoint multiplier theorems of Marcinkiewicz type.},
url = {http://eudml.org/doc/39657},
volume = {17},
year = {2001},
}

TY - JOUR
AU - Tao, Terence
AU - Wright, James
TI - Endpoint multiplier theorems of Marcinkiewicz type.
JO - Revista Matemática Iberoamericana
PY - 2001
VL - 17
IS - 3
SP - 521
EP - 558
AB - We establish sharp (H1,L1,q) and local (L logrL,L1,q) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H1 to L1,∞ and L log1/2L to L1,∞, and that these estimates are sharp.
LA - eng
KW - Análisis armónico; Multiplicadores; Espacio de Orlicz; Espacios de Hardy; endpoint estimate; weak type estimate; Marcinkiewicz multipliers
UR - http://eudml.org/doc/39657
ER -

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