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 ...

In this paper we introduce variable exponent local Hardy spaces $hLp$ associated with a non-negative self-adjoint operator $L$. We assume that, for every $t>0$, the operator $e^{-tL}$ has an integral representation whose ...

The purpose of this work is to investigate the behavior of the Local MaximalOperator on appropriate weighted BMO spaces. We believe that ourresult (see theorem below) is new even in the unweighted case.

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).

A critical radius function ρ assigns to each x ∈ Rd a positive number in a way that its variation at different points is somehow controlled by a power of the distance between them. This kind of function appears naturally ...

In this paper, we gather the essential contents of the talk ?Hardy spaces with variable exponents given by the second author at the CIMPA2017 Research School-IXEscuela Santaló Harmonic Analysis, Geometric Measure Theory ...

Suppose that M is a smooth submanifold of CN and that L = ∪z∈CnLz is the Cauchy- Riemann structure associated to the N-dimensional complex space. For each p ∈ M we can consider the vector space Ap = CTpM ...

For the system of Laguerre functions inline image we define a suitable BMO space from the atomic version of the Hardy space inline image considered by Dziubański in [7], where inline image is the maximal operator of the ...

Semigroups associated to different orthogonal systems of Laguerre functions are investigated. We obtain completed weighted results for the boundedness of the associated maximal operator and fractional integral in Lp spaces. ...