Pablo Sevilla-Peris

Summation of coefficients of polynomials on Lp spaces

We investigate the summability of the coefficients of

Spectra of weighted algebras of holomorphic functions

m

Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables

-homogeneous polynomials and

Convergence of Dirichlet polynomials in Banach spaces

m

Cotype 2 estimates for spaces of polynomials on sequence spaces

-linear mappings defined on

Bohr’s absolute convergence problem for ℋp-Dirichlet series in Banach spaces

\ell_{p}

The Bohnenblust-Hille inequality combined with an inequality of Helson

-spaces. In our research we obtain results on the summability of the coefficients of

Some polynomial versions of cotype and applications

m

The Dirichlet–Bohr radius

-linear mappings defined on

Extendibility of bilinear forms on banach sequence spaces

\ell_{p_{1}} \times \cdots \times \ell_{p_{m}}