115 citations · 1.9k across the 226 of their papers we have counts for
16 papers · 1 filter
Layer potentials, Green's formulae, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
Michael Ruzhansky, Durvudkhan Suragan
We propose the analogues of boundary layer potentials for the sub-Laplacian on homogeneous Carnot groups/stratified Lie groups and prove continuity results for them. In particular,…
Global regularity properties for a class of Fourier integral operators
Michael Ruzhansky, Mitsuru Sugimoto
While the local -boundedness of nondegeneral Fourier integral operators is known from the work of Seeger, Sogge and Stein, not so many results are available for the global bou…
Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses
Rauan Akylzhanov, Michael Ruzhansky
We introduce abstract net spaces on directed sets and prove their embedding and interpolation properties. Typical examples of interest are lattices of irreducible unitary represent…
- multipliers on locally compact groups
Rauan Akylzhanov, Michael Ruzhansky
In this paper we discuss the - boundedness of both spectral and Fourier multipliers on general locally compact separable unimodular groups for the range $1<p\leq q<\i…
On hyperbolic systems with time dependent Hölder characteristics
Claudia Garetto, Michael Ruzhansky
In this paper we study the well-posedness of weakly hyperbolic systems with time dependent coefficients. We assume that the eigenvalues are low regular, in the sense that they are…
Smoothing estimates for non-dispersive equations
Michael Ruzhansky, Mitsuru Sugimoto
This paper describes an approach to global smoothing problems for non-dispersive equations based on ideas of comparison principle and canonical transformation established in author…