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Caracterização da continuidade de operatores do tipo Calderón-Zygmund fortemente singular em espaços de Hardy
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2023-04-04)
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 ...
On Haar Bases for Generalized Dyadic Hardy Spaces
(Rocky Mt Math Consortium, 2013-05)
In this note we prove that Haar type systems are unconditional basis in the generalized dyadic Hardy space HD 1 in the setting of spaces of homogeneous type. As a consequence, we obtain an alternative proof of the ...
Algebras de Banach de funções analiticas
([s.n.], 2005)
Espaços de Hardy e compacidade compensada
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 2014-03-13)
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 ...
Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates
(Springer, 2020-07)
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 ...
Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2018-04-06)
In this work we will present a new characterization of the Sobolev space W^{1,1}(\R^n) and also we give another proof of the characterization of the Sobolev space W^{1,p}(\R^n), 1<p<\infty, in terms of Poincaré inequalities. ...