Results 231 to 240 of about 390 (267)

Lp Boundedness of Fourier Integral Operators in the Class S1,0

Acta Mathematica Sinica, English Series, 2023
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Lp Boundedness of Fourier Integral Operators in the Class S0,0

Acta Mathematica Sinica, English Series, 2022
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Lp (Rm×Rn) boundedness for the Marcinkiewicz integral on product spaces

Science in China Series A, 2003
Lp(Rm × Rn) boundedness is considered for the multiple Marcinkiewicz integral. Some size conditions implying the Lp(Rm × Rn) boundedness of the multiple Marcinkiewicz integral for some fixed 1 > p > ∞ are obtained.
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Symmetry-Breaking for Wigner Transforms and Lp-Boundedness of Weyl Transforms

2004
Using the symmetric formula for the Wigner transform, we give LP-boundedness results for Weyl transforms with symbols in L 1 (ℝ n } ℝ n ). Breaking the symmetry of the Wigner transform, we obtain new results for Weyl transforms with symbols in L p (ℝ n } ℝ n ), 1 ≤ p ≤ 2. Applications to localization operators on the Weyl-Heisenberg group are given for
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On the \(L^p\) boundedness of rough parametric Marcinkiewicz functions

2007
Summary: In this paper, we study the \(L^p\) boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in \( L(\log^{+}L)(\mathbb{S}^{n-1})\). Our result in this paper solves an open problem left by the authors of [J. Aust. Math. Soc. 72, No.~1, 13--21 (2002; Zbl 0993.42008)].
Al-Salman, A., Al-Qassem, Hussain
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Lp-boundedness of Functions of Schrödinger Operators on an Open Set of $$\mathbb{R}^{d}$$

2017
The purpose of this paper is to prove L p -boundedness of an operator φ(H V ), where \(H_{V } = -\Delta + V (x)\) is the Schrodinger operator on an open set \(\Omega \) of \(\mathbb{R}^{d}\) (d ≥ 1). Moreover, we prove uniform L p -estimates for φ(θ H V ) with respect to a parameter θ > 0.
Tsukasa Iwabuchi, Tokio Matsuyama, Koichi Taniguchi   +2 more
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Boundedness of a class of vector-valued multiplier operators in Lp (T∞)

Siberian Mathematical Journal, 1986
Starting from a question of \textit{E. M. Stein} [Bull. Am. Math. Soc. New Ser. 9, 71-73 (1983; Zbl 0515.42018)], the authors study the boundedness of a class of vector multiplier operators on the infinite dimensional torus \(T^{\infty}\). These results, which have been previously announced [see ''Tez. dokl.
Bendikov, A. D., Pavlov, I. V.
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Lp-boundedness of multilinear oscillatory singular integrals with Calderón-Zygmund kernel

Science China Mathematics, 2002
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Lu, Shanzhen, Yan, Dunyan
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Boundedness of the convolution operator in Lp(Zm) and smoothness of the symbol of the operator

Mathematical Notes of the Academy of Sciences of the USSR, 1977
Sufficient conditions for the boundedness of the convolution operator in Lp(Zm) are found. These conditions are imposed on the symbol of the operator in terms of the spaces Hα and Hβ (functions of bounded variation of order β). The results obtained here generalize the results of S. B. Stechkin and I. I. Hirschman [Ref. Zh. Mat.7, No.
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Boundedness and invertibility of multidimensional integral operators with anisotropically homogeneous kernels in weighted Lp-spaces

AIP Conference Proceedings, 2014
In weighted space Lp (Rn,ρ), 1 < p < ∞, a new broad class of integral operators with anisotropically homogeneous kernels is investigated. For such operators boundedness theorem is proved. Also the Banach algebra generated by operators with anisotropically homogeneous kernels of compact type is considered.
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