Nowhere hölderian functions and Pringsheim singular functions in the disc algebra

We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach spaces in the disc algebra all of whose nonzero members are not α -hölderian at any point of the unit circle for any α > 0 . This completes the recently established result of...

Full description

Saved in:

Bibliographic Details
Published in:	Monatshefte für Mathematik Vol. 188; no. 4; pp. 591 - 609
Main Authors:	Bernal-González, L., Bonilla, A., López-Salazar, J., Seoane-Sepúlveda, J. B.
Format:	Journal Article
Language:	English
Published:	Vienna Springer Vienna 11.04.2019 Springer Nature B.V
Subjects:	Algebra Analytic functions Banach spaces Mathematical analysis Mathematics Mathematics and Statistics Subspaces Topology Lineability Secondary 15A03 Pringsheim singular function 46E10 Disc algebra 26A27 Nowhere hölderian function 26E10 Spaceability Primary 30H50 Algebrability
ISSN:	0026-9255, 1436-5081
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!