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Schatten-von Neumann classes of tensors of invariant operators
Julio Delgado, Liliana Posada, Michael Ruzhansky
In this work we study Schatten-von Neumann classes of tensor products of invariant operators on Hilbert spaces. In the first part we first deduce some spectral properties for tenso…
Besov and Triebel-Lizorkin spaces on homogeneous groups
Guorong Hu, David Rottensteiner, Michael Ruzhansky +1
This paper develops a theory of Besov spaces and Triebel-Lizorkin spaces on an arbitrary homogeneous group for the…
Classical inequalities for all Fourier matrix coefficients of and their applications
Vishvesh Kumar, Tapendu Rana, Michael Ruzhansky
In this article, we establish three fundamental Fourier inequalities: the Hausdorff-Young inequality, the Paley inequality, and the Hausdorff-Young-Paley inequality for -ty…
- Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type
Tapendu Rana, Michael Ruzhansky
Our primary objective in this article is to establish Hörmander type Fourier multiplier theorems in the context of noncompact type Riemannian symmetric spaces…