34 citations · 132 across the 59 of their papers we have counts for
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Orlicz Space Interpolation and Its Applications to Operator Convolution
Wolfram Bauer, Robert Fulsche, Joachim Toft
We prove a strong-type interpolation result for noncommutative Orlicz spaces over semifinite von Neumann algebras. Based on this result, we obtain Young-type convolution estimates…
Fourier integral operators on Orlicz modulation spaces
Serap Öztop, Rüya Üster, Joachim Toft
We establish continuity and Schatten-von Neumann properties for Fourier integral operators with amplitudes in Orlicz modulation spaces, when acting on other Orlicz modulation space…
Factorizations for quasi-Banach time-frequency spaces and Schatten classes
Divyang Bhimani, Joachim Toft
We deduce factorization properties for a quasi-Banach module over a quasi-Banach algebra. Especially we extend a result by Hewitt and prove that if any such algebra which possess a…
Pseudo-differential calculi and entropy estimates with Orlicz modulation spaces
Anupam Gumber, Nimit Rana, Joachim Toft +1
We deduce continuity properties for pseudo-differential operators with symbols in Orlicz modulation spaces when acting on other Orlicz modulation spaces. In particular we extend we…
Schatten-von Neumann properties for Hörmander classes on compact Lie groups
Duván Cardona, Marianna Chatzakou, Michael Ruzhansky +1
Let be a compact Lie group of dimension In this work we characterise the membership of classical pseudo-differential operators on in the trace class ideal $S_{1}(L^2(G…
Spectral Invariance of Quasi-Banach Algebras for Matrices and Pseudodifferential Operators
Karlheinz Gröchenig, Christine Pfeuffer, Joachim Toft
In the paper we extend the spectral invariance of pseudodifferential operators acting on (non-weighted) classical modulation spaces to allow the Lebesgue exponents to be smaller th…