Results 1 to 10 of about 672,012 (336)
The Maximal Singular Integral: Estimates in Terms of the Singular Integral [PDF]
, 2013 This is an expository paper on the characterization of the even (or odd) smooth homogeneous convolution Calder n-Zygmund operators in R^n such that the maximal singular integral can be controlled in the L^2 norm by the singular integral. We focuss attention on special cases of the general statements to convey the main ideas of the proofs in a ...
Joan Verdera
openaire +4 more sources
Efficient algorithms for integrals with highly oscillatory Hankel kernels
Results in Applied Mathematics, 2022 We present an efficient numerical algorithm for approximating integrals with highly oscillatory Hankel kernels. First, using the integral expression of the Hankel function, the integral is transformed into the integral of the trigonometric kernel, and ...
Qinghua Wu, Mengjun Sun
doaj +1 more source
Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces
Journal of Function Spaces, 2023 In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular ...
Yanlong Shi, Li Li, Zhonghua Shen
doaj +1 more source
Three-Dimensional Elastodynamic Analysis Employing Partially Discontinuous Boundary Elements
Algorithms, 2021 Compared with continuous elements, discontinuous elements advance in processing the discontinuity of physical variables at corner points and discretized models with complex boundaries.
Yuan Li +4 more
doaj +1 more source
BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
Tạp chí Khoa học Đại học Đà Lạt, 2022 In this paper, we present some explicit exponents in the estimates for the volumes of sub-level sets of polynomials on bounded sets and applications to the decay of oscillatory integrals and the convergence of singular integrals.
Loi Le Ta, Minh Quy Pham
doaj +1 more source
On commutators of singular integrals and bilinear singular integrals [PDF]
Transactions of the American Mathematical Society, 1975 LP estimates for multilinear singular integrals generalizing Calderon's commutator integral are obtained. The methods introduced involve Fourier and Mellin analysis. 1. In this paper we introduce new methods to obtain estimates for commutators of singular integrals as well as other related operators. Let A(f) = A(x)f(x) and H(f) = pvff(t)dt/(x t).
Coifman, R. R., Meyer, Yves
openaire +2 more sources
On approximation of two-dimensional potential and singular operators [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane.
Charyyar Ashyralyyev, Sedanur Efe
doaj +1 more source
Proceedings of the American Mathematical Society, 1986 In this paper we show that if K ( x ) = Ω ( x ) / | x | n K(x) = \Omega (x)/{\left | x \right |^n} is a Calderón-Zygmund kernel, where Ω
openaire +1 more source
BCR algorithm and the $T(b)$ theorem [PDF]
, 2007 We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
core +3 more sources
Some one-sided estimates for oscillatory singular integrals [PDF]
, 2014 The purpose of this paper is to establish some one-sided estimates for oscillatory singular integrals. The boundedness of certain oscillatory singular integral on weighted Hardy spaces $H^{1}_{+}(w)$ is proved. It is here also show that the $H^{1}_{+}(w)$
Fu, Zunwei +3 more
core +1 more source