Search Results - "Ruzhansky, Michael"

On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups by Ruzhansky, Michael, Suragan, Durvudkhan

“…In this paper, we present a version of horizontal weighted Hardy–Rellich type and Caffarelli–Kohn–Nirenberg type inequalities on stratified groups and study…”
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Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups by Ruzhansky, Michael, Suragan, Durvudkhan

“…We give sharp remainder terms of Lp and weighted Hardy and Rellich inequalities on one of most general subclasses of nilpotent Lie groups, namely the class of…”
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Schatten classes on compact manifolds: Kernel conditions by Delgado, Julio, Ruzhansky, Michael

“…In this paper we give criteria on integral kernels ensuring that integral operators on compact manifolds belong to Schatten classes. A specific test for…”
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Eigenfunction expansions of ultradifferentiable functions and ultradistributions by DASGUPTA, APARAJITA, RUZHANSKY, MICHAEL

“…In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold X. The…”
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Quantization of Pseudo-differential Operators on the Torus by Ruzhansky, Michael, Turunen, Ville

“…Pseudo-differential and Fourier series operators on the torus are analyzed by using global representations by Fourier series instead of local representations…”
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On Kac's principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group by Ruzhansky, Michael, Suragan, Durvudkhan

“…In this note we construct an integral boundary condition for the Kohn Laplacian in a given domain on the Heisenberg group extending to the setting of the…”
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Uncertainty relations on nilpotent Lie groups by Ruzhansky, Michael, Suragan, Durvudkhan

“…We give relations between main operators of quantum mechanics on one of most general classes of nilpotent Lie groups. Namely, we show relations between…”
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On the Gevrey well-posedness of the Kirchhoff equation by Matsuyama, Tokio, Ruzhansky, Michael

“…This paper is devoted to proving the almost global solvability of the Cauchy problem for the Kirchhoff equation in the Gevrey space γ η , L 2 s . Furthermore,…”
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Global L^p continuity of Fourier integral operators by CORIASCO, SANDRO, RUZHANSKY, MICHAEL

“…<< is also established, and applications to hyperbolic partial differential equations are given.]]>…”
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Smoothing properties of evolution equations via canonical transforms and comparison principle by Ruzhansky, Michael, Sugimoto, Mitsuru

“…This paper describes a new approach to global smoothing problems for dispersive and non‐dispersive evolution equations based on the global canonical transforms…”
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Smoothing estimates for non-dispersive equations by Ruzhansky, Michael, Sugimoto, Mitsuru

“…This paper describes an approach to global smoothing problems for non-dispersive equations based on ideas of comparison principle and canonical transformation…”
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Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups by Ruzhansky, Michael, Sabitbek, Bolys, Suragan, Durvudkhan

“…In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following…”
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Trace theorems: critical cases and best constants by RUZHANSKY, MICHAEL, SUGIMOTO, MITSURU

“…The purpose of this paper is to present the critical cases of the trace theorems for the restriction of functions to closed surfaces and to give the…”
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Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations by Dasgupta, Aparajita, Ruzhansky, Michael

“…In this paper we analyse the structure of the spaces of coefficients of eigenfunction expansions of functions in Komatsu classes on compact manifolds,…”
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On the Toroidal Quantization of Periodic Pseudo-Differential Operators by Ruzhansky, Michael, Turunen, Ville

“…On the torus, pseudo-differential operators can be presented globally by Fourier series, without local coordinate charts. Periodization of partial differential…”
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Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for ^{ }-weighted Hardy inequalities by Ruzhansky, Michael, Suragan, Durvudkhan, Yessirkegenov, Nurgissa

“…In this paper we give an extension of the classical Caffarelli-Kohn-Nirenberg inequalities: we show that for 1 > p , q > ∞ 1>p,q>\infty , 0 > r > ∞ 0>r>\infty…”
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Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous Groups by Ruzhansky, Michael, Suragan, Durvudkhan, Yessirkegenov, Nurgissa

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Preface to the Special Issue on “Mathematical modelling in applied sciences” by Berdyshev, Abdumauvlen, Kalimoldayev, Maksat, Ruzhansky, Michael

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A smoothing property of Schrödinger equations in the critical case by Ruzhansky, Michael, Sugimoto, Mitsuru

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Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups by Ruzhansky, Michael, Suragan, Durvudkhan

“…We propose the analogues of boundary layer potentials for the sub-Laplacian on homogeneous Carnot groups/stratified Lie groups and prove continuity results for…”
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