Anàlisi complexa, funcions quadràtiques i martingales diàdiques

  • Nicolau Nos, Arturo (Principal Investigator)
  • González Fuentes, María José, Universidad de Cádiz (UCA) (Collaborator)
  • Pau Plana, Jordi (Investigator)

Project Details

Description

We plan to consider three topics in a research area where Complex Analysis, Harmonic Analysis and Martingales interact.
1. \b Bloch Functions\b0 . The goal is to describe dominating sets and the closure of bounded analytic functions in the Bloch space. We also want to consider a free interpolation problem by positive harmonic functions which is the multiplicative version of an analogous problem in the Bloch space.
2. \b Square functions\b0 . We paln to consider versions of the Law of the Iterated Logarithm for dyadic martingales, harmonic functions and Bloch functions in their Fatou set. We also intend to study regularity problems for quasiconformal mappings and Muckenhoput weights using Multiplicative Square Functions.
3.\b Bloch functions in Riemannian manifolds of negative curvature\b0 . We propose to study the boundary behaviour of Bloch Functions in these type of manifolds
StatusFinished
Effective start/end date1/12/021/12/05

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