Strong and weak type estimates for singular integrals with respect to measures separated by AD-regular boundaries

V. Chousionis; X. Tolsa

doi:10.1093/imrn/rnt160

Strong and weak type estimates for singular integrals with respect to measures separated by AD-regular boundaries

V. Chousionis, X. Tolsa

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© 2013 The Author(s). We prove weak and strong boundedness estimates for singular integrals in with respect to (d-1)-dimensional measures separated by Ahlfors-David regular boundaries, generalizing and extending results of Chousionis and Mattila. Our proof follows a different strategy based on new Calderón-Zygmund decompositions which can also be used to extend a result of David.

Idioma original	Anglès
Pàgines (de-a)	6497-6522
Revista	International Mathematics Research Notices
Volum	2014
Número	23
DOIs	https://doi.org/10.1093/imrn/rnt160
Estat de la publicació	Publicada - 1 de gen. 2014

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10.1093/imrn/rnt160

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https://www.scopus.com/pages/publications/84922552105

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title = "Strong and weak type estimates for singular integrals with respect to measures separated by AD-regular boundaries",

abstract = "{\textcopyright} 2013 The Author(s). We prove weak and strong boundedness estimates for singular integrals in with respect to (d-1)-dimensional measures separated by Ahlfors-David regular boundaries, generalizing and extending results of Chousionis and Mattila. Our proof follows a different strategy based on new Calder{\'o}n-Zygmund decompositions which can also be used to extend a result of David.",

author = "V. Chousionis and X. Tolsa",

year = "2014",

month = jan,

day = "1",

doi = "10.1093/imrn/rnt160",

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journal = "International Mathematics Research Notices",

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number = "23",

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T1 - Strong and weak type estimates for singular integrals with respect to measures separated by AD-regular boundaries

AU - Chousionis, V.

AU - Tolsa, X.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - © 2013 The Author(s). We prove weak and strong boundedness estimates for singular integrals in with respect to (d-1)-dimensional measures separated by Ahlfors-David regular boundaries, generalizing and extending results of Chousionis and Mattila. Our proof follows a different strategy based on new Calderón-Zygmund decompositions which can also be used to extend a result of David.

AB - © 2013 The Author(s). We prove weak and strong boundedness estimates for singular integrals in with respect to (d-1)-dimensional measures separated by Ahlfors-David regular boundaries, generalizing and extending results of Chousionis and Mattila. Our proof follows a different strategy based on new Calderón-Zygmund decompositions which can also be used to extend a result of David.

UR - https://www.scopus.com/pages/publications/84922552105

U2 - 10.1093/imrn/rnt160

DO - 10.1093/imrn/rnt160

M3 - Article

SN - 1073-7928

VL - 2014

SP - 6497

EP - 6522

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 23

ER -

Strong and weak type estimates for singular integrals with respect to measures separated by AD-regular boundaries

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