Sobolev projection on quantum torus, its complete boundedness and applications
Sukochev F. Tulenov K. Zanin D.
15 March 2025Academic Press Inc.
Journal of Mathematical Analysis and Applications
2025#543Issue 2
In this paper, we establish the complete boundedness of Sobolev projection from L1(Tθd) into L1,∞(Tθd). In the special case θ=0, our results strengthen the classical results due to Berkson, Bourgain, Pelczynski and Wojciechowski.
Complete boundedness , Quantum tori , Sobolev projection , Sobolev spaces
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School of Mathematics and Statistics, University of NSW, Sydney, 2052, Australia
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, 9000, Belgium
School of Mathematics and Statistics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics: Analysis
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