Wavelet representation of singular integral 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 ...

Some Maximal Operators related to Families of Singular Integral Operators∗

In this paper, we shall study Lp−boundedness of two kinds of maximal operators related to some families of singular integrals. 2000 MSC: Primary 42B20, Secondary 42B25, 42B30

Integral Operators with Singular Canonical Relations

We derive certain estimates and asymptotics for oscillatory integral operators with degenerate phase functions, concentrating our attention on the situation when one of the projections from the associated canonical relation is a Whitney fold. We discuss related topics: convexity, higher order degeneracy of canonical relations, and almost orthogonality. In the second part of the paper, we apply ...

Weighted norm inequalities for singular integral operators

Layer Potentials beyond Singular Integral Operators

We prove that the double layer potential operator and the gradient of the single layer potential operator are L2 bounded for general second order divergence form systems. As compared to earlier results, our proof shows that the bounds for the layer potentials are independent of well posedness for the Dirichlet problem and of De Giorgi-Nash local estimates. The layer potential operators are show...