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Seminar on theory of function spaces

usually takes place Every Wednesday 10:00 Department of Mathematical Analysis, Faculty of Mathematics and Physics, Sokolovská 83                   
Chair: Bohumír Opic, Luboš Pick

Estimates of Besov mixed-type norms for functions in Sobolev and Hardy-Sobolev spaces

Viktor Kolyada
Karlstad University
Thursday, 20. May 2021 - 15:40 to 17:40
We prove embeddings of Sobolev and Hardy-Sobolev spaces into Besov spaces built upon certain mixed norms. This gives an improvement of the known embeddings into usual Besov spaces. Applying these results, we obtain Oberlin type estimates of Fourier transforms for functions in Sobolev spaces. Published in: Ann. Mat. Pura Appl., 192, no. 2 (2019), 615-637.