Continuity of pseudodifferential operators with nonsmooth symbols on mixed-norm Lebesgue spaces
Filomat, Tome 37 (2023) no. 24, p. 8205

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Mixed-norm Lebesgue spaces found their place in the study of some questions in the theory of partial differential equations, as can be seen from recent interest in the continuity of certain classes of pseudodifferential operators on these spaces. In this paper, we use some recent advances in the pseudodifferential calculus for nonsmooth symbols to prove the boundedness of pseudodifferential operators with such symbols on mixed-norm Lebesgue spaces.
DOI : 10.2298/FIL2324205I
Classification : 35S05, 46E30, 47G30
Keywords: pseudodifferential operators, nonsmooth symbols, mixed-norm Lebesgue spaces
Ivan Ivec. Continuity of pseudodifferential operators with nonsmooth symbols on mixed-norm Lebesgue spaces. Filomat, Tome 37 (2023) no. 24, p. 8205 . doi: 10.2298/FIL2324205I
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     author = {Ivan Ivec},
     title = {Continuity of pseudodifferential operators with nonsmooth symbols on mixed-norm {Lebesgue} spaces},
     journal = {Filomat},
     pages = {8205 },
     year = {2023},
     volume = {37},
     number = {24},
     doi = {10.2298/FIL2324205I},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324205I/}
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