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Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index

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Main Authors: Sergi, Arias, Salvador, Rodríguez-López
Format: Book
Language:English
Published: Springer 2023
Subjects:
Fn/pp,q(Rn)
Fn/pp,q(Rn)↪bmo(Rn)
Online Access:https://link.springer.com/article/10.1007/s13348-023-00400-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7620
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spelling oai:localhost:PNK-76202023-04-06T03:23:42Z Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index Sergi, Arias Salvador, Rodríguez-López Fn/pp,q(Rn) Fn/pp,q(Rn)↪bmo(Rn) CC BY In this paper we obtain new estimates for bilinear pseudodifferential operators with symbol in the class BSm1,1 , when both arguments belong to Triebel-Lizorkin spaces of the type Fn/pp,q(Rn). The inequalities are obtained as a consequence of a refinement of the classical Sobolev embedding Fn/pp,q(Rn)↪bmo(Rn), where we replace bmo(Rn) by an appropriate subspace which contains L∞(Rn). As an application, we study the product of functions on Fn/pp,q(Rn) when 1<p<∞, where those spaces fail to be multiplicative algebras. 2023-04-06T03:23:42Z 2023-04-06T03:23:42Z 2023 Book https://link.springer.com/article/10.1007/s13348-023-00400-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7620 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Fn/pp,q(Rn)
Fn/pp,q(Rn)↪bmo(Rn)
spellingShingle Fn/pp,q(Rn)
Fn/pp,q(Rn)↪bmo(Rn)
Sergi, Arias
Salvador, Rodríguez-López
Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index
description CC BY
format Book
author Sergi, Arias
Salvador, Rodríguez-López
author_facet Sergi, Arias
Salvador, Rodríguez-López
author_sort Sergi, Arias
title Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index
title_short Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index
title_full Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index
title_fullStr Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index
title_full_unstemmed Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index
title_sort bilinear pseudodifferential operators with symbol in bsm1,1 on triebel–lizorkin spaces with critical sobolev index
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s13348-023-00400-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7620
_version_ 1762456092438167552
score 8.8894005

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