Affiliation:
1. Faculty of Metallurgy, University of Zagreb, Sisak, Croatia
Abstract
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.
Publisher
National Library of Serbia
Reference13 articles.
1. J. Aleksić, S. Pilipović, I. Vojnović, H-distributions with unbounded multipliers, J. Pseudo-Differ. Oper. Appl. 9, 615-641 (2018)
2. N. Antonić, I. Ivec, On the Hörmander-Mihlin theorem for mixed-norm Lebesgue spaces, J. Math. Anal. Appl. 433, 176-199 (2016)
3. N. Antonić, I. Ivec, I. Vojnović, Continuity of pseudodifferential operators on mixed-norm Lebesgue spaces, Monatshefte für Mathematik 190(4), 657-674 (2019)
4. N. Antonić, D. Mitrović, H-distributions: an extension of H-measures to an Lp−Lq setting, Abs. Appl. Analysis 2011 Article ID 901084 (2011)
5. A. I. Benedek, R. Panzone, The spaces LP, with mixed norm, Duke Math. J. 28, 301-324 (1961)