Dyadic BMO on the bidisk.

Oscar Blanco; Sandra Pott

Revista Matemática Iberoamericana (2005)

  • Volume: 21, Issue: 2, page 483-510
  • ISSN: 0213-2230

Abstract

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We give several new characterizations of the dual of the dyadic Hardy space H1,d(T2), the so-called dyadic BMO space in two variables and denoted BMOdprod. These include characterizations in terms of Haar multipliers, in terms of the "symmetrised paraproduct" Λb, in terms of the rectangular BMO norms of the iterated "sweeps", and in terms of nested commutators with dyadic martingale transforms. We further explore the connection between BMOdprod and John-Nirenberg type inequalities, and study a scale of rectangular BMO spaces.

How to cite

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Blanco, Oscar, and Pott, Sandra. "Dyadic BMO on the bidisk.." Revista Matemática Iberoamericana 21.2 (2005): 483-510. <http://eudml.org/doc/41941>.

@article{Blanco2005,
abstract = {We give several new characterizations of the dual of the dyadic Hardy space H1,d(T2), the so-called dyadic BMO space in two variables and denoted BMOdprod. These include characterizations in terms of Haar multipliers, in terms of the "symmetrised paraproduct" Λb, in terms of the rectangular BMO norms of the iterated "sweeps", and in terms of nested commutators with dyadic martingale transforms. We further explore the connection between BMOdprod and John-Nirenberg type inequalities, and study a scale of rectangular BMO spaces.},
author = {Blanco, Oscar, Pott, Sandra},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios de Hardy; Funciones de oscilación media acotada; Medidas de Carleson; on the bidisk; Carleson measures; Haar multipliers; dyadic Hardy space; dual},
language = {eng},
number = {2},
pages = {483-510},
title = {Dyadic BMO on the bidisk.},
url = {http://eudml.org/doc/41941},
volume = {21},
year = {2005},
}

TY - JOUR
AU - Blanco, Oscar
AU - Pott, Sandra
TI - Dyadic BMO on the bidisk.
JO - Revista Matemática Iberoamericana
PY - 2005
VL - 21
IS - 2
SP - 483
EP - 510
AB - We give several new characterizations of the dual of the dyadic Hardy space H1,d(T2), the so-called dyadic BMO space in two variables and denoted BMOdprod. These include characterizations in terms of Haar multipliers, in terms of the "symmetrised paraproduct" Λb, in terms of the rectangular BMO norms of the iterated "sweeps", and in terms of nested commutators with dyadic martingale transforms. We further explore the connection between BMOdprod and John-Nirenberg type inequalities, and study a scale of rectangular BMO spaces.
LA - eng
KW - Espacios de Hardy; Funciones de oscilación media acotada; Medidas de Carleson; on the bidisk; Carleson measures; Haar multipliers; dyadic Hardy space; dual
UR - http://eudml.org/doc/41941
ER -

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