Effective bounds for the singular values of integral operators

Bounds for Singular Fractional Integrals and Related Fourier Integral Operators

An effective method for approximating the solution of singular integral equations with Cauchy kernel type

In present paper, a numerical approach for solving Cauchy type singular integral equations is discussed. Lagrange interpolation with Gauss Legendre quadrature nodes and Taylor series expansion are utilized to reduce the computation of integral equations into some algebraic equations. Finally, five examples with exact solution are given to show efficiency and applicability of the method. Also, w...

Weighted norm inequalities for singular integral operators

Sharp Weighted Bounds for Fractional Integral Operators

The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequalities are obtained. Some of the techniques used include a sharp off-diagonal...

Boundedness of Singular Integral Operators On

Eleonor Harboure Beairiz Viviani Presentado pOl" Carlos Segovia Abstract: We study the boundedness of singular integral operators on Orlicz-Hardy spaces H w , in the setting of spaces of homogeneous type. As an application of this result, we obtain a characterization of HwIRn in terms of the Riesz Transforms. § 1. NOTATION AND DEFINITIONS Let X be a set. A function d : X x X -+ IR+ U {OJ shall ...