70 citations · 262 across the 32 of their papers we have counts for
4 papers · 1 filter
Multifractal phenomena and packing dimension
Frédéric Bayart, Yanick Heurteaux
We undertake a general study of multifractal phenomena for functions. We show that the existence of several kinds of multifractal functions can be easily deduced from an abstract s…
Dirichlet approximation and universal Dirichlet series
Richard Aron, Frédéric Bayart, Paul Gauthier +2
We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance a…
Composition operators and embedding theorems for some function spaces of Dirichlet series
Frédéric Bayart, Ole Fredrik Brevig
We observe that local embedding problems for certain Hardy and Bergman spaces of Dirichlet series are equivalent to boundedness of a class of composition operators. Following this,…
Monomial convergence for holomorphic functions on
Frédéric Bayart, Andreas Defant, Sunke Schlüters
Let be either the set of all bounded holomorphic functions or the set of all -homogeneous polynomials on the unit ball of . We give a systematic study of t…