# On the resolvents of dyadic paraproducts.

Revista Matemática Iberoamericana (1994)

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

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topPereyra, 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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