The composition of singular integral operators with nonsmooth kernels

Let T1, T2 be two singular integral operators with nonsmooth kernels introduced by Duong and McIntosh. In this paper, by establishing certain bi‐sublinear sparse dominations, the authors obtain some quantitative bounds on Lp(Rn,w) with p∈(1,∞) and w∈Ap(Rn) for the composite operator T1T2. Some weigh...

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Veröffentlicht in:	Mathematische Nachrichten 2021-11, Vol.294 (11), p.2160-2183
Hauptverfasser:	Hu, Guoen, Zhang, Yandan
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Sprache:	eng
Schlagworte:	composite operator Kernels nonsmooth kernel Operators singular integral operator sparse operator weighted bound
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description	Let T1, T2 be two singular integral operators with nonsmooth kernels introduced by Duong and McIntosh. In this paper, by establishing certain bi‐sublinear sparse dominations, the authors obtain some quantitative bounds on Lp(Rn,w) with p∈(1,∞) and w∈Ap(Rn) for the composite operator T1T2. Some weighted weak type endpoint estimates are also given.
doi_str_mv	10.1002/mana.201970001
format	Article
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Some weighted weak type endpoint estimates are also given.</description><subject>composite operator</subject><subject>Kernels</subject><subject>nonsmooth kernel</subject><subject>Operators</subject><subject>singular integral operator</subject><subject>sparse operator</subject><subject>weighted bound</subject><issn>0025-584X</issn><issn>1522-2616</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LAzEQhoMoWKtXzwued81sNtnkWEr9gKqXCt5CyGbb1N1kTbaU_ntTKnr0NAPzvDPMg9At4AIwLu975VRRYhA1xhjO0ARoWeYlA3aOJgmgOeXVxyW6inGbCCFqNkGL1cZk2veDj3a03mW-zaJ1612nQmbdaNZBdZkfTFCjDzHb23GTOe9i733qPk1wpovX6KJVXTQ3P3WK3h8Wq_lTvnx7fJ7PlrkmUEPOCeFaG6hAsUYQ0LRhFRFgWM1xRbWuKOVGQNPSpha6Voq0qqGQpg3j0JApujvtHYL_2pk4yq3fBZdOyvQn5TVhlCeqOFE6-BiDaeUQbK_CQQKWR1XyqEr-qkoBcQrsbWcO_9DyZfY6-8t-A5ntbW4</recordid><startdate>202111</startdate><enddate>202111</enddate><creator>Hu, Guoen</creator><creator>Zhang, Yandan</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>202111</creationdate><title>The composition of singular integral operators with nonsmooth kernels</title><author>Hu, Guoen ; Zhang, Yandan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3171-8338cce141a6d931c5d64391e678045cc4558e91df5d79c7aa3fad51780d681d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>composite operator</topic><topic>Kernels</topic><topic>nonsmooth kernel</topic><topic>Operators</topic><topic>singular integral operator</topic><topic>sparse operator</topic><topic>weighted bound</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hu, Guoen</creatorcontrib><creatorcontrib>Zhang, Yandan</creatorcontrib><collection>CrossRef</collection><jtitle>Mathematische Nachrichten</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hu, Guoen</au><au>Zhang, Yandan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The composition of singular integral operators with nonsmooth kernels</atitle><jtitle>Mathematische Nachrichten</jtitle><date>2021-11</date><risdate>2021</risdate><volume>294</volume><issue>11</issue><spage>2160</spage><epage>2183</epage><pages>2160-2183</pages><issn>0025-584X</issn><eissn>1522-2616</eissn><abstract>Let T1, T2 be two singular integral operators with nonsmooth kernels introduced by Duong and McIntosh. 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subjects	composite operator Kernels nonsmooth kernel Operators singular integral operator sparse operator weighted bound
title	The composition of singular integral operators with nonsmooth kernels
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