New local T 1 theorems on non-homogeneous spaces

We develop new local T1 theorems to characterize Calder'on-Zygmund operators that extend boundedly or compactly on Lp(Rn, µ), with µ a measure of power growth. The results, whose proofs do not require random grids, have weaker hypotheses than previously known local T1 theorems since they only r...

Full description

Bibliographic Details
Author: Villarroya, Paco
Format: article
Publication Date:2024
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:295042
Online Access:https://ddd.uab.cat/record/295042
Access Level:Open access
Keyword:Calderón-Zygmund operator
Compact operator
Non-doubling radon measures
Cauchy integral
id ES_2de7be497dd531d0b06aa447daff04c5
oai_identifier_str oai:ddd.uab.cat:295042
network_acronym_str ES
network_name_str España
repository_id_str
spelling New local T 1 theorems on non-homogeneous spacesVillarroya, PacoCalderón-Zygmund operatorCompact operatorNon-doubling radon measuresCauchy integralWe develop new local T1 theorems to characterize Calder'on-Zygmund operators that extend boundedly or compactly on Lp(Rn, µ), with µ a measure of power growth. The results, whose proofs do not require random grids, have weaker hypotheses than previously known local T1 theorems since they only require a countable collection of testing functions. Moreover, a further extension of this work allows the use of testing functions supported on cubes of different dimensions. As a corollary, we describe the measures µ of the complex plane for which the Cauchy integral defines a compact operator on Lp(C, µ). 22024-01-0120242024-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/295042reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2950422026-06-06T12:50:31Z
dc.title.none.fl_str_mv New local T 1 theorems on non-homogeneous spaces
title New local T 1 theorems on non-homogeneous spaces
spellingShingle New local T 1 theorems on non-homogeneous spaces
Villarroya, Paco
Calderón-Zygmund operator
Compact operator
Non-doubling radon measures
Cauchy integral
title_short New local T 1 theorems on non-homogeneous spaces
title_full New local T 1 theorems on non-homogeneous spaces
title_fullStr New local T 1 theorems on non-homogeneous spaces
title_full_unstemmed New local T 1 theorems on non-homogeneous spaces
title_sort New local T 1 theorems on non-homogeneous spaces
dc.creator.none.fl_str_mv Villarroya, Paco
author Villarroya, Paco
author_facet Villarroya, Paco
author_role author
dc.subject.none.fl_str_mv Calderón-Zygmund operator
Compact operator
Non-doubling radon measures
Cauchy integral
topic Calderón-Zygmund operator
Compact operator
Non-doubling radon measures
Cauchy integral
description We develop new local T1 theorems to characterize Calder'on-Zygmund operators that extend boundedly or compactly on Lp(Rn, µ), with µ a measure of power growth. The results, whose proofs do not require random grids, have weaker hypotheses than previously known local T1 theorems since they only require a countable collection of testing functions. Moreover, a further extension of this work allows the use of testing functions supported on cubes of different dimensions. As a corollary, we describe the measures µ of the complex plane for which the Cauchy integral defines a compact operator on Lp(C, µ).
publishDate 2024
dc.date.none.fl_str_mv 2
2024-01-01
2024
2024-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/295042
url https://ddd.uab.cat/record/295042
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869405362717720576
score 15.812429

Similar Items