In this thesis, we characterize the continuity of strongly singular Calderón-Zygmund operators of type $\sigma$ in Hardy spaces, weighted Hardy spaces and Hardy-Morrey spaces in the spirit of (Coifman and Meyer, 1977). In ...

Maz'ja and Sinnamon proved a characterization of the boundedness of the Hardy operator from Lp(v) into Lq(w) in the case 0 < q < p, 1 < p < ∞. We present here a new simple proof of the sufficiency part of that result. © ...

The main aim of this work is to study necessary and sufficient conditions for a distribution, whose compact support is contained in a hyperplane, to be in the local Hardy space hp(Rn).

This work is divided into two parts. In the first part, our goal is to present the theory of Hardy Spaces Hp(Rn), which coincides with the Lebesgue space Lp(Rn) for p > 1, is strictly contained in Lp(Rn) if p = 1, and is ...

In this dissertation we study results of existence and non-existence for the following class of nonlinear elliptic problems: where RN denotes an open set containing the origin, bounded or not, with N > 4. The equation ...