Results 11 to 20 of about 417 (39)

Doubly Critical Problems Involving Fractional Laplacians in ℝN

Advanced Nonlinear Studies, 2017
In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
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Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces [PDF]

, 2018
In this note we announce our investigation on the Lp properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators byshowing classical multilinear ...
Cardona Sanchez, Duvan, Kumar, Vishvesh
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Berezin-Type Operators on the Cotangent Bundle of a Nilpotent Group [PDF]

, 2019
We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product between a connected simply connected nilpotent Lie group and the dual of its Lie algebra.
A Grossmann, A Melin, BC Hall, D Manchon, D Manchon, E Cordero, E Cordero, H Bustos, J Toft, K Miller, K Miller, LJ Corwin, M Combescure, M Măntoiu, M Măntoiu, M Măntoiu, M Ruzhansky, MW Wong, MW Wong, P Boggiatto, P Boggiatto, P Głowacki, P Głowacki, P Głowacki, ST Ali, V Fischer, V Iftimie, V Iftimie   +27 more
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Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups

, 2013
In this paper we prove a version of the Gohberg lemma on compact Lie groups giving an estimate from below for the distance from a given operator to the set of compact operators on compact Lie groups.
Dasgupta, Aparajita, Ruzhansky, Michael
core   +1 more source

Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian [PDF]

, 2014
In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy type estimate which is of independent inerest. We then produce Hardy-Sobolev-
Filippas, Stathis, Moschini, Luisa, Tertikas, Achilles   +2 more
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A Deformation Quantization Theory for Non-Commutative Quantum Mechanics

, 2009
We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space.
Feichtinger H. G., Feichtinger H. G., Franz Luef, Heisenberg W., João Nuno Prata, Kosińsky P., Maurice de Gosson, Nuno Costa Dias, Pauli W., Rieffel M. A.   +9 more
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Fractional Sobolev and Hardy-Littlewood-Sobolev inequalities [PDF]

, 2014
This work focuses on an improved fractional Sobolev inequality with a remainder term involving the Hardy-Littlewood-Sobolev inequality which has been proved recently. By extending a recent result on the standard Laplacian to the fractional case, we offer
Jankowiak, Gaspard, Nguyen, Van Hoang
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Pseudodifferential operators and their commutators on Morrey type spaces

Demonstratio Mathematica
This paper discusses the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions, and sets up the sufficient condition such that these operators are bounded on classical Morrey spaces and generalized Morrey ...
Deng Yu-Long
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On Multi-Dimensional Random Walk Models Approximating Symmetric Space-Fractional Diffusion Processes [PDF]

, 2005
Mathematics Subject Classification: 26A33, 47B06, 47G30, 60G50, 60G52, 60G60.In this paper the multi-dimensional analog of the Gillis-Weiss random walk model is studied.
Gorenflo, Rudolf, Umarov, Sabir
core  

$L^p$-boundedness and $L^p$-nuclearity of multilinear pseudo-differential operators on $\mathbb{Z}^n$ and the torus $\mathbb{T}^n$

, 2019
In this article, we begin a systematic study of the boundedness and the nuclearity properties of multilinear periodic pseudo-differential operators and multilinear discrete pseudo-differential operators on $L^p$-spaces. First, we prove analogues of known
Cardona, Duván, Kumar, Vishvesh
core   +2 more sources