Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/20234
Title: | Continuity of pseudodifferential operators on mixed-norm Lebesgue spaces | Authors: | Antonić Nenad Ivec Ivan Vojnović Ivana |
Issue Date: | 2019 | Journal: | Monatshefte fur Mathematik | Abstract: | © 2019, Springer-Verlag GmbH Austria, part of Springer Nature. Mixed-norm Lebesgue spaces found their place in the study of some questions in the theory of partial differential equations, as it can be seen from recent interest in continuity of certain classes of pseudodifferential operators on these spaces. We present a general framework for dealing with continuity of linear operators on these spaces. This allows us to prove the boundedness of a large class of pseudodifferential operators and also the boundedness of integral operators on mixed-norm Lebesgue spaces. In some cases, the generalisations to mixed-norm Sobolev spaces are obtained as well, together with applications to some interpolation and compactness results. | URI: | https://open.uns.ac.rs/handle/123456789/20234 | ISSN: | 0026-9255 1436-5081 |
DOI: | 10.1007/s00605-019-01318-1 |
Appears in Collections: | PMF Publikacije/Publications |
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