1 citations · 2 across the 6 of their papers we have counts for
9 papers
Compactness for pseudo-differential and Toeplitz operators on modulation spaces
Elmira Nabizadeh-Morsalfard, Christine Pfeuffer, Nenad Teofanov +1
We deduce various norm equivalences, and convolution estimates for the modulation space consisting of all such that $|V_ϕf \cdot ω|…
Norm estimates for a broad class of modulation spaces, and continuity of Fourier type operators
Joachim Toft, Christine Pfeuffer, Nenad Teofanov
Let be a normal quasi-Banach function space with respect to and , be -moderate, and let . Then we prove that belong…
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…
Invariance of the Fredholm Index and Spectrum of Non-Smooth Pseudodifferential Operators
Helmut Abels, Christine Pfeuffer
In this paper we show the invariance of the Fredholm index of non-smooth pseudodifferential operators with coefficients in Hölder spaces. By means of this invariance we improve pre…
Fredholm Property of Non-Smooth Pseudodifferential Operators
Helmut Abels, Christine Pfeuffer
In this paper we prove sufficient conditions for the Fredholm property of a non-smooth pseudodifferential operator which symbol is in a Hölder space with respect to the spatial…
Paley-Wiener properties for spaces of entire functions
E. Nabizadeh, C. Pfeuffer, J. Toft
We deduce Paley-Wiener results in the Bargmann setting, which give characterisations of Pilipovi{ć} spaces of low orders, extending the characterisation of a Gr{ö}chenig test funct…
Compactness properties for modulation spaces
Christine Pfeuffer, Joachim Toft
We prove that if and are moderate weights and $\mascB$ is a suitable (quasi-)Banach function space, then a necessary and sufficient condition for the embedding $i\, :\,…
Spectral Invariance of Non-Smooth Pseudodifferential Operators
Helmut Abels, Christine Pfeuffer
In this paper we discuss some spectral invariance results for non-smooth pseudodifferential operators with coefficients in Hölder spaces. In analogy to the proof in the smooth case…
Characterization of Non-Smooth Pseudodifferential Operators
Helmut Abels, Christine Pfeuffer
Smooth pseudodifferential operators on can be characterized by their mapping properties between Sobolev spaces due to Beals and Ueberberg. In applications such…