Interactions between methods of local Banach space theory and infinite dimensional complex analysis

Applicant Professor Dr. Andreas Defant

Subject Area Mathematics

Term from 2005 to 2013

Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 16707525

Final Report Year 2013

Final Report Abstract

No abstract available

A new multilinear insight on Littlewood’s 4/3-inequality. J. Func. Anal., 256:1642-1664, 2009
A. Defant and P. Sevilla Peris
Convergence of Dirichlet polynomials in Banach spaces. Trans. Amer. Math. Soc., 363,2:220-242, 2010
A. Defant and P. Sevilla Peris
Coordinate wise multiple summing operators in Banach spaces. J. Func. Anal., 259:220-242, 2010
A. Defant, D. Popa, and U. Schwarting
New strips of convergence for Dirichlet series. Publ. Mat., 54:369-388, 2010
A. Defant, D. Garcia and M. Maestre
Bohr’s radii and strips – a microscopic and a macroscopic view. Note Mat., 31:85-99, 2011
A. Defant and U. Schwarting
Bohr’s strips for Dirichlet series in Banach spaces. Funct. Approximatio, Comment. Math., 44.1:165-189, 2011
A. Defant, D. Garcia, M. Maestre, and P. Sevilla Peris
Convergence of monomial expansions in Banach spaces. Q. J. Math., 63,3:569–584, 2011
A. Defant and P. Sevilla Peris
The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive. Annals of Mathematics, 74(1):485–497, 2011
A. Defant, L. Frerick, J. Ortega-Cerda, M. Ounaies and K. Seip
The Bohr radius of the unit ball of l-n/p. J. reine angew. Math., 660:131-147, 2011
A. Defant and L. Frerick
Bohr radii of vector valued holomorphic functions. Advances in Mathematics, 231:2837–2857, 2012
A. Defant, U. Schwarting, and M. Maestre
(See online at https://doi.org/10.1016/j.aim.2012.07.016)