SINGULAR INTEGRAL OPERATORS ON A HALF-LINE

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 ...

Singular Continuous Spectrum of Half-line Schrödinger Operators with Point Interactions on a Sparse Set

We say that a discrete set X = {xn}n∈N0 on the half-line 0 = x0 < x1 < x2 < x3 < · · · < xn < · · · < +∞ is sparse if the distances ∆xn = xn+1−xn between neighbouring points satisfy the condition ∆xn ∆xn−1 → +∞. In this paper half-line Schrödinger operators with point δand δ′-interactions on a sparse set are considered. Assuming that strengths of point interactions tend to ∞ we give simple suff...

Superlinear Singular Problems on the Half Line

Copyright q 2010 I. Rachůnková and J. Tomeček. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The paper studies the singular differential equation p t u′ ′ p t f u , which has a singularity at t 0. Here the existence of strictly ...

A Note on Calderón-zygmund Singular Integral Convolution Operators

A Nyström method for weakly singular integral operators on surfaces

We describe a modified Nyström method for the discretization of the weakly singular boundary integral operators which arise from the formulation of linear elliptic boundary value problems as integral equations. Standard Nyström and collocation schemes proceed by representing functions via their values at a collection of quadrature nodes. Our method uses appropriately scaled function values in l...