| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | POTENTIAL ANALYSIS; v. 55, n. 3, p. 491-512, OCT 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we establish Sobolev type compact embedding theorems for Hormander classes of pseudodifferential operators OpS(1,delta)(-alpha) on localizable Hardy space. Our work include new optimal boundedness results. As application, we obtain compact embeddings for compactly supported distributions with respect to the space variables in the nonhomogeneous localizable Hardy-Sobolev spaces. (AU) | |
| FAPESP's process: | 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis |
| Grantee: | Paulo Domingos Cordaro |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/04995-3 - Qualitative properties of partial differential equations and several complex variables |
| Grantee: | Gustavo Hoepfner |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/15484-7 - A priori estimates for elliptic operators and applications |
| Grantee: | Tiago Henrique Picon |
| Support Opportunities: | Research Grants - Young Investigators Grants - Phase 2 |