On the resolvents of dyadic paraproducts.

María Cristina Pereyra

Revista Matemática Iberoamericana (1994)

  • Volume: 10, Issue: 3, page 627-664
  • ISSN: 0213-2230

Abstract

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We consider the boundedness of certain singular integral operators that arose in the study of Sobolev spaces on Lipschitz curves, [P1]. The standard theory available (David and Journé's T1 Theorem, for instance; see [D]) does not apply to this case becuase the operators are not necessarily Calderón-Zygmund operators, [Ch]. One of these operators gives an explicit formula for the resolvent at λ = 1 of the dyadic paraproduct, [Ch].

How to cite

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Pereyra, María Cristina. "On the resolvents of dyadic paraproducts.." Revista Matemática Iberoamericana 10.3 (1994): 627-664. <http://eudml.org/doc/39467>.

@article{Pereyra1994,
abstract = {We consider the boundedness of certain singular integral operators that arose in the study of Sobolev spaces on Lipschitz curves, [P1]. The standard theory available (David and Journé's T1 Theorem, for instance; see [D]) does not apply to this case becuase the operators are not necessarily Calderón-Zygmund operators, [Ch]. One of these operators gives an explicit formula for the resolvent at λ = 1 of the dyadic paraproduct, [Ch].},
author = {Pereyra, María Cristina},
journal = {Revista Matemática Iberoamericana},
keywords = {Integrales singulares; Espacios de Sobolev; Operadores integrales; Ondículas; functions of bounded mean oscillation; resolvents; dyadic paraproducts; Haar decomposition; dyadic BMO; weighted dyadic square function; weighted maximal function},
language = {eng},
number = {3},
pages = {627-664},
title = {On the resolvents of dyadic paraproducts.},
url = {http://eudml.org/doc/39467},
volume = {10},
year = {1994},
}

TY - JOUR
AU - Pereyra, María Cristina
TI - On the resolvents of dyadic paraproducts.
JO - Revista Matemática Iberoamericana
PY - 1994
VL - 10
IS - 3
SP - 627
EP - 664
AB - We consider the boundedness of certain singular integral operators that arose in the study of Sobolev spaces on Lipschitz curves, [P1]. The standard theory available (David and Journé's T1 Theorem, for instance; see [D]) does not apply to this case becuase the operators are not necessarily Calderón-Zygmund operators, [Ch]. One of these operators gives an explicit formula for the resolvent at λ = 1 of the dyadic paraproduct, [Ch].
LA - eng
KW - Integrales singulares; Espacios de Sobolev; Operadores integrales; Ondículas; functions of bounded mean oscillation; resolvents; dyadic paraproducts; Haar decomposition; dyadic BMO; weighted dyadic square function; weighted maximal function
UR - http://eudml.org/doc/39467
ER -

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