Calderón-zygmund Capacities and Wolff Potentials on Cantor Sets

Multilinear Calderón-zygmund Operators on Hardy Spaces

It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.

A Note on Calderón-zygmund Singular Integral Convolution Operators

A Calderón-zygmund Estimate with Applications to Generalized Radon Transforms

We prove a Calderón-Zygmund type estimate which can be applied to sharpen known regularity results on spherical means, Fourier integral operators and generalized Radon transforms.

On a Calderón-zygmund Commutator-type Estimate

In this paper we extend a Calderón-Zygmund commutator-type estimate. This estimate enables us to prove an embedding result concerning weighted function spaces. 2000 Mathematics Subject Classification: 42B15, 42B20, 42B25, 42B35.

Complex Powers of the Laplacian on Affine Nested Fractals as Calderón-zygmund Operators

We give the first natural examples of Calderón-Zygmund operators in the theory of analysis on post-critically finite self-similar fractals. This is achieved by showing that the purely imaginary Riesz and Bessel potentials on nested fractals with 3 or more boundary points are of this type. It follows that these operators are bounded on Lp, 1 < p < ∞ and satisfy weak 1-1 bounds. The analysis may ...