Results 21 to 30 of about 6,568 (311)
Journal of Function Spaces, 2022 We show that the maximal operator associated with multilinear Calderón-Zygmund singular integrals and its commutators are bounded on products of central Morrey spaces with variable exponent.
Liwei Wang
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L P estimates for the maximal singular integral in terms of the singular integral [PDF]
Journal d'Analyse Mathématique, 2015 This paper continues the study, initiated in the works {MOV} and {MOPV}, of the problem of controlling the maximal singular integral $T^{*}f$ by the singular integral $Tf$. Here $T$ is a smooth homogeneous Calderón-Zygmund singular integral operator of convolution type.
Bosch-Camós, Anna +2 more
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International Journal of Mathematics and Mathematical Sciences, 1988 In the present report, we investigate the formulation, for the numerical evaluation of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity. Some simple formulas are given for the numerical solution
E. G. Ladopoulos
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Journal of Mathematics, 2021 The classical composite midpoint rectangle rule for computing Cauchy principal value integrals on an interval is studied. By using a piecewise constant interpolant to approximate the density function, an extended error expansion and its corresponding ...
Chunxiao Yu, Lingling Wei
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On a Fractional Differential Equation with r-Laplacian Operator and Nonlocal Boundary Conditions
Mathematics, 2022 We study the existence and multiplicity of positive solutions of a Riemann-Liouville fractional differential equation with r-Laplacian operator and a singular nonnegative nonlinearity dependent on fractional integrals, subject to nonlocal boundary ...
Johnny Henderson +2 more
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Approximation by Multivariate Singular Integrals [PDF]
, 2011 Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator.
George A. Anastassiou +1 more
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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 Calderón-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 ...
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Estimates for singular integrals and extrapolation [PDF]
, 2009 We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument.
20162430 +4 more
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Some Estimates of Integrals with a Composition Operator
Journal of Inequalities and Applications, 2010 We give some estimates of integrals with a composition operator, namely, composition of homotopy, differential, and Green's operators T∘d∘G, with the Lipschitz and BMO norms.
Bing Liu
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Boundedness of Oscillatory Integrals with Variable Calderón-Zygmund Kernel on Weighted Morrey Spaces
Journal of Function Spaces and Applications, 2013 Oscillatory integral operators play a key role in harmonic analysis. In this paper, the authors investigate the boundedness of the oscillatory singular integrals with variable Calderón-Zygmund kernel on the weighted Morrey spaces Lp,k(ω).
Yali Pan, Changwen Li, Xinsong Wang
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