Harmonic Analysis and Partial Differential Equations

Stein's Theorem in the upper-half plane and Bergman spaces with weights.- Representation theorems in Hardy-Orlicz spaces of the upper half-plane.- Characterizations of Lp-vector fields divergence distributions.- Boundedness of some commutators in Dunkl-Fofana spaces.- The Ubiquitous Appearance of BUPUs.- Estimate of the Lp-Fourier transform norm for some Lie groups.- Spherical function of type on groupoids.- Convolution in Orlicz spaces on Hypergroups.- A Variational Approach to the Cauchy Problem for Nonlinear Elliptic Systems.- Large deviations and Berry-Esseen inequalities in the stochastic diffusion driven by a Volterra type process.- Entropy stable Godunov numerical schemes for the Euler equations.- Time convergence of Bloch-type model with Pauli's master equation and wave-matter interaction.

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• Análise numérica
• Cálculo diferencial e equações
• Análise funcional e transforma
• Análise complexa, variáveis ??complexas

Harmonic Analysis;Abstract Harmonic Analysis;Stein's Theorem;Hyperbolic PDEs;Nonlinear Elliptic Systems;Resolution of PDEs