A note on rate of convergence of double singular integral operators

A Note on Calderón-zygmund Singular Integral Convolution Operators

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 ...

A Note on Learning with Integral Operators

A large number of learning algorithms, for example, spectral clustering, kernel Principal Components Analysis and many manifold methods, are based on estimating eigenvalues and eigenfunctions of operators defined by a similarity function or a kernel, given empirical data. Thus for the analysis of algorithms, it is an important problem to be able to assess the quality of such approximations. The...

Statistical Approximation by Double Picard Singular Integral Operators

We first construct a sequence of double smooth Picard singular integral operators which do not have to be positive in general. After giving some useful estimates, we mainly show that it is possible to approximate a function by these operators in statistical sense even though they do not obey the positivity condition of the statistical Korovkin theory.

On Convergence of Singular Integral Operators Dependings on Three Parameters with Radial Kernels

In this paper, two theorems are proved, one for existence of the operator L (f ; x, y, λ) and the others for its pointwise convergence to f (x 0 , y 0) , as (x, y, λ) tends to (x 0 , y 0 , λ 0). In contrast to previous works, the kernel function is radial.