Results 1 to 10 of about 202 (161)
Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents. [PDF]
J Inequal Appl, 2018 In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable
Xu J, Zhu J.
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On a Class of Bilinear Pseudodifferential Operators [PDF]
Journal of Function Spaces and Applications, 2013 We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander classBS1,δ0,0≤δ<1. The proof uses a reduction to bilinear elementary symbols and Littlewood-Paley theory.
Benyi, Arpad, Oh, Tadahiro
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The S-transform of distributions. [PDF]
ScientificWorldJournal, 2014 Parseval’s formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces 𝒮(ℝn) and 𝒮′(ℝn).
Singh SK.
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Pseudodifferential Operators Associated with a Semigroup of Operators [PDF]
Journal of Fourier Analysis and Applications, 2013 20 ...
Bernicot, Frédéric, Frey, Dorothee
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Classes of spatially inhomogeneous pseudodifferential operators. [PDF]
Proc Natl Acad Sci U S A, 1973 One can obtain sharp information on a pseudodifferential operator p (x,D) by embedding the symbol p in a symbolic calculus specially designed to reflect the behavior of p .
Beals R, Fefferman C.
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Pseudodifferential operators and Hecke operators
Applied Mathematics Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discrete spectrum of zero order pseudodifferential operators [PDF]
Opuscula Mathematica, 2023 We study the rate of convergence of eigenvalues to the endpoints of essential spectrum for zero order pseudodifferential operators on a compact manifold.
Grigori Rozenblum
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Evolution pseudodifferential equations with analytic symbols in spaces of $S$ type
Karpatsʹkì Matematičnì Publìkacìï, 2021 A nonlocal multipoint by time problem for an evolution equation with a pseudodifferential operator is studied. This operator is treated as an infinite order differentiation operator in generalized spaces of $S$ type. We consider the case when the initial
V.V. Horodets'kyi, O.V. Martynyuk
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Magnetic Pseudodifferential Operators
Publications of the Research Institute for Mathematical Sciences, 2007 In previous papers, a generalization of the Weyl calculus was introduced in connection with the quantization of a particle moving in ℝ^n under the influence of a variable magnetic field B
Viorel Iftimie +2 more
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Semielliptic Pseudodifferential Operators
Journal of Functional Analysis, 1995 On étudie la régularité des solutions des problèmes aux limites associés à un opérateur pseudo-différentiel semi-elliptique de la forme \[ P = D^\mu_t + \sum_{1 \leq j \leq \mu} p_j (x,t,D_x) D_t^{\mu - j}, \] \(t \in [0,T)\), \(x \in \omega\) ouvert de \(\mathbb{R}^n\), où \(p_j (x, t,D_x)\) est un opérateur pseudo-différentiel en \(x\), de closse \({\
Artino, R.A., Barrosneto, J.
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