Results 31 to 40 of about 1,062,474 (215)
Strongly singular bilinear Calderón–Zygmund operators and a class of bilinear pseudodifferential operators [PDF]
Journal of the Mathematical Society of Japan, 2018 Motivated by the study of kernels of bilinear pseudodifferential operators with symbols in a H\"ormander class of critical order, we investigate boundedness properties of strongly singular Calder\'on--Zygmund operators in the bilinear setting.
'Arp'ad B'enyi, Lucas Chaffee, V. Naibo
semanticscholar +1 more source
Pseudodifferential operators on α-modulation spaces
Journal of Function Spaces and Applications, 2004 We study expansions of pseudodifferential operators from the Hörmander class in a special family of functions called brushlets. We prove that such operators have a sparse representation in a brushlet system.
Lasse Borup
doaj +1 more source
Pseudodifferential Operators on Weighted Hardy Spaces
Journal of Function Spaces, 2020 We study two sufficient conditions for the boundedness of a class of pseudodifferential operators T with symbols in the Hölmander class Sρ,δmℝn on weighted Hardy spaces Hω1ℝn, where ω belongs to Muckenhoupt class Ap.
Yu-long Deng, Shun-chao Long
doaj +1 more source
Weighted boundedness of multilinear pseudo-differential operators
AIMS Mathematics, 2021 In this paper, the weighted boundedness for some multilinear operators generated by the pseudo-differential operators and the weighted Lipschitz functions are obtained.
Dazhao Chen
doaj +1 more source
Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves [PDF]
Analysis & PDE, 2018 We extend the results of our paper "Attractors for two dimensional waves with homogeneous Hamiltonians of degree 0" written with Laure Saint-Raymond to the case of forced linear wave equations in any dimension.
Y. D. Verdière
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, 2007 The regularity of solutions to variational inequalities involving local operators has been studied extensively. Less attention has been paid to those involving nonlocal pseudodifferential operators. We present two regularity results for such problems.
Randolph G. Cooper
doaj +1 more source
Notes on pseudodifferential operators commutators and Lipschitz functions
Open Mathematics, 2023 This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
doaj +1 more source
A pointwise estimate for pseudo-differential operators
Bulletin of Mathematical Sciences, 2023 Let [Formula: see text] be a pseudo-differential operator defined by the symbol [Formula: see text] with [Formula: see text] [Formula: see text]. It is shown that if [Formula: see text], then the operator satisfies the following pointwise estimate: (Tau)♯
Guangqing Wang, Wenyi Chen
doaj +1 more source
Non-Archimedean Pseudodifferential Operators and Feller Semigroups [PDF]
, 2017 In this article we study a large class of non-Archimedean pseudodifferential operators whose symbols are negative definite functions.We prove that these operators extend to generators of Feller semigroups.
Anselmo Torresblanca-Badillo +1 more
semanticscholar +1 more source
Spectral Invariance of Non-Smooth Pseudodifferential Operators
, 2016 In this paper we discuss some spectral invariance results for non-smooth pseudodifferential operators with coefficients in H\"older spaces. In analogy to the proof in the smooth case of Beals and Ueberberg, we use the characterization of non-smooth ...
Abels, Helmut, Pfeuffer, Christine
core +1 more source