Results 31 to 40 of about 2,990 (165)

Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces

Revista Integración, 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 by showing classical multilinear ...
Duván Cardona, Vishvesh Kumar
doaj  

Endpoint boundedness of toroidal pseudo-differential operators

Open Mathematics
In this note, we prove that the toroidal pseudo-differential operator is bounded from L∞(Tn){L}^{\infty }\left({{\mathbb{T}}}^{n}) to BMO(Tn){\rm{BMO}}\left({{\mathbb{T}}}^{n}) if the symbol belongs to the toroidal Hörmander class Sρ,δn(ρ−1)∕2(Tn×Zn){S}_{
Ramla Benhamoud
doaj   +1 more source

Dunkl-Sobolev spaces of exponential type and applications

Journal of Function Spaces and Applications, 2011
We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved.
Hatem Mejjaoli
doaj   +1 more source

To the theory of discrete boundary value problems

4 open, 2019
We consider discrete analogues of pseudo-differential operators and related discrete equations and boundary value problems. Existence and uniqueness results for special elliptic discrete boundary value problem and comparison for discrete and continuous ...
Tarasova Oksana A., Vasilyev Vladimir B.
doaj   +1 more source

On positivity of pseudo-differential operators [PDF]

Proceedings of the National Academy of Sciences, 1978
In this paper we obtain new lower bounds for pseudo-differential operators with non-negative symbols, thus providing a sharper form of Gårding's inequality.
Fefferman, C., Phong, D. H.
openaire   +2 more sources

A Class of Bounded Pseudo-Differential Operators [PDF]

Proceedings of the National Academy of Sciences, 1972
Pseudo-differential operators of order -M and type ρ, δ 1 , δ 2 are shown to be bounded in L 2 provided that 0 ≤ ρ ≤ δ 1 < 1, 0 ≤ ρ ≤ δ 2 < 1, and [Formula: see text].
Calderon, Alberto P., Vaillancourt, Remi
openaire   +3 more sources

Fractional Derivative Regularization in QFT

Advances in High Energy Physics, 2018
We propose in this paper a new regularization, where integer-order differential operators are replaced by fractional-order operators. Regularization for quantum field theories based on application of the Riesz fractional derivatives of noninteger orders ...
Vasily E. Tarasov
doaj   +1 more source

Pseudospectra and eigenvalue asymptotics for disordered non-selfadjoint operators in the semiclassical limit

Frontiers in Applied Mathematics and Statistics
The purpose of this note is to review certain recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operators subject to small random perturbations.
Martin Vogel
doaj   +1 more source

Diffraction by a union of strips with impedance conditions in Besov and Bessel potential spaces

Mathematical Modelling and Analysis, 2008
We consider an impedance boundary‐value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a union of strips. Pseudo‐differential operators acting between Bessel potential spaces and Besov spaces are
Luis P. Castro, David Kapanadze
doaj   +1 more source

Domains of pseudo-differential operators: a case for the Triebel-Lizorkin spaces

Journal of Function Spaces and Applications, 2005
The main result is that every pseudo-differential operator of type 1, 1 and order d is continuous from the Triebel-Lizorkin space Fp,1d to Lp, 1≤p≺∞, and that this is optimal within the Besov and Triebel-Lizorkin scales. The proof also leads to the known
Jon Johnsen
doaj   +1 more source