Bilinear pseudodifferential operators with symbol in BSm1,1 on Triebel–Lizorkin spaces with critical Sobolev index
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s13348-023-00400-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7620 |
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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 |
8.893527 |