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Caracterização da continuidade de operatores do tipo Calderón-Zygmund fortemente singular em espaços de Hardy
(Universidade Federal de 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 ...
Existência e multiplicidade de soluções para diferentes classes de equações de Choquard
(Universidade Federal de São Carlos, 2023-04-12)
In the present work we deal with two classes of Choquard Elliptic Equations with unbounded and sign-changing potentials, considering Fractional and Kirchhoff operators and nonlinearities with exponential critical growth. ...
Perturbações unitárias multiplicativas
(Universidade Federal de São Carlos, 2023-05-24)
For the self-adjoint operator H, the perturbation H+A, with A also a self-adjoint operator, there is a long list of results regarding the spectrum of this perturbation. We study the spectrum of a multiplicative perturbation ...