Results 31 to 40 of about 11,357 (198)
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
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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
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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
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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
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On the Fredholm property of bisingular pseudodifferential operators [PDF]
, 2016 For operators belonging either to a class of global bisingular pseudodifferential operators on $R^m \times R^n$ or to a class of bisingular pseudodifferential operators on a product $M \times N$ of two closed smooth manifolds, we show the equivalence of ...
E. Schrohe +11 more
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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
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Some algebraic properties of differential operators
, 2012 First, we study the subskewfield of rational pseudodifferential operators over a differential field K generated in the skewfield of pseudodifferential operators over K by the subalgebra of all differential operators. Second, we show that the Dieudonne'
Alberto De Sole +7 more
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Hypo-Analytic Pseudodifferential Operators [PDF]
Proceedings of the American Mathematical Society, 1989 Let Ω \Omega be a hypo-analytic manifold of dimension m m equipped with a hypo-analytic structure whose structure bundle T ′ T’ has dimension m m . This paper introduces hypo-analytic pseudodifferential operators and it is shown that such operators preserve the ...
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Lie Subalgebras of the Matrix Quantum Pseudodifferential Operators
Advances in Mathematical Physics, 2016 We give a complete description of the anti-involutions that preserve the principal gradation of the algebra of matrix quantum pseudodifferential operators and we describe the Lie subalgebras of their minus fixed points.
Karina Batistelli, Carina Boyallian
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On a Class of Bilinear Pseudodifferential Operators
Journal of Function Spaces and Applications, 2013 We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander class BS1,δ0, 0 ...
Árpád Bényi, Tadahiro Oh
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