Weighted Inequalities for Schrödinger Type Singular Integrals
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-018-9626-2
Abstract: AbstractRelated to the Schrödinger operator $$L=-\Delta +V$$L=-Δ+V, the behaviour on $$L^p$$Lp of several first and second order Riesz transforms was studied by Shen (Ann Inst Fourier (Grenoble) 45(2):513–546, 1995). Under his assumptions on V, a… read more here.
Keywords: dinger; singular integrals; inequalities schr; type ... See more keywords
Sharp weighted norm inequalities for singular integrals with non–smooth kernels
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02416-4
Abstract: In this paper, we prove the sharp weighted bound for certain singular integrals which have non-smooth kernels and do not belong to the class of standard Calderón–Zygmund operators. Our assumptions are weaker than those known… read more here.
Keywords: integrals non; singular integrals; smooth kernels; non smooth ... See more keywords
Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces
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DOI: 10.1007/s11425-017-9416-5
Abstract: In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in $$\mathscr{F}_{\beta}\left(\mathrm{S}^{n-1}\right)$$ ℱ β ( S n − 1 ) , a topic that relates to the… read more here.
Keywords: maximal functions; triebel lizorkin; boundedness continuity; singular integrals ... See more keywords
Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals
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DOI: 10.1007/s11464-017-0634-3
Abstract: This paper concerns with multiple weighted norm inequalities for maximal vector-valued multilinear singular operator and maximal commutators. The Cotlar-type inequality of maximal vector-valued multilinear singular integrals operator is obtained. On the other hand, pointwise estimates… read more here.
Keywords: multilinear singular; singular integrals; vector valued; multiple weighted ... See more keywords
The Picard and Gauss–Weierstrass Singular Integrals in (p, q)-Calculus
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DOI: 10.1007/s40840-019-00759-z
Abstract: The vast development of the techniques in both the quantum calculus and the post-quantum calculus leads to a significant increase in activities in approximation theory due to applications in computational science and engineering. Herein, we… read more here.
Keywords: gauss weierstrass; picard gauss; weierstrass singular; singular integrals ... See more keywords
Dynamics-based analytical solutions to singular integrals for elastodynamics by time domain boundary element method
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DOI: 10.1016/j.apm.2017.12.019
Abstract: Abstract The singularities in 2-D time domain boundary element (TD-BEM) formulation for elastodynamics are divided into three categories: the wave front singularity, the space singularity and the dual singularity. A fully analytical procedure for dealing… read more here.
Keywords: analytical solutions; singular integrals; domain boundary; time ... See more keywords
A general-purpose machine learning framework for predicting singular integrals in boundary element method
Sign Up to like & getrecommendations! Published in 2020 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2020.03.028
Abstract: Abstract Accurate and efficient evaluation of singular integrals is of crucial importance for the successful implementation of the boundary element method (BEM). In most traditional methods, complex mathematical operations or expensive computation cost is required… read more here.
Keywords: machine learning; framework; singular integrals; method ... See more keywords
Weighted variation inequalities for singular integrals and commutators
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123825
Abstract: Abstract In this paper, we extend the mixed weak-type inequalities of Sawyer type for Calderon-Zygmund operators to the variation operators of θ-type Calderon-Zygmund operators. Moreover, the corresponding quantitative weighted bounds as well as the weighted… read more here.
Keywords: variation; inequalities singular; singular integrals; integrals commutators ... See more keywords
SINGULAR INTEGRALS SUPPORTED BY SUBVARIETIES FOR VECTOR-VALUED FUNCTIONS
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DOI: 10.1017/nmj.2017.13
Abstract: In this paper, we show that singular integrals supported by subvarieties are bounded on $L^{p}(\mathbb{R}^{n};\mathbf{X})$ for $1 read more here.
Keywords: integrals supported; singular integrals; subvarieties vector; vector valued ... See more keywords
Compactness of Commutators of One-Sided Singular Integrals in Weighted Lebesgue Spaces
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DOI: 10.1017/s001309151800024x
Abstract: Abstract We prove that if p > 1, $w\in A_p^ +$, b ∈ CMO and $C_b^ + $ is the commutator with symbol b of a Calderón–Zygmund convolution singular integral with kernel supported on (−∞,… read more here.
Keywords: commutators one; one sided; sided singular; integrals weighted ... See more keywords
A fast, accurate and easy to implement Kapur–Rokhlin quadrature scheme for singular integrals in axisymmetric geometries
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Plasma Physics"
DOI: 10.1017/s002237782300020x
Abstract: Many applications in magnetic confinement fusion require the efficient calculation of surface integrals with singular integrands. The singularity subtraction approaches typically used to handle such singularities are complicated to implement and low-order accurate. In contrast,… read more here.
Keywords: rokhlin quadrature; singular integrals; kapur rokhlin; scheme ... See more keywords