Patrice Lassère

Bohr’s Phenomenon on a Regular Condenser in the Complex Plane

We prove the following generalization of Bohr’s Theorem: let

Gaps and Fatou theorems for series in Schauder basis of holomorphic functions

K\subset{\rm C}

Estimates for the Bohr Radius of a Faber–Green Condenser in the Complex Plane

be a continuum,

When Is L r (R) Contained in L p (R) + L q (R)?

(F_{K,n})_{n\geq 0}

Convexity of sublevel sets of plurisubharmonic extremal functions

its Faber polynomials, ωnr the level sets of the Green function of ℂ K with singularity at infinity. Then there exists a radius

One more simple proof of the Craig–Sakamoto theorem

R_{0}>0

The Bohr radius for an elliptic condenser

such that for any

Bases communes holomorphes: nouvelle extension du théorème de Whittaker

f=\sum_{n}a_{n}F_{K,n}\in {O}(\Omega_{R_0})

Interpolation d'opérateurs entre espaces de fonctions holomorphes

with

When Is Lr(R) Contained in Lp(R) + Lq(R)?

f(\Omega_{R_0})\subset D(0,1) {\rm \ we \ have} \sum_{n}|a_{n}|.||F_{K,n}||_K<1