Boundary-Nonregular Functions in the Disc Algebra and in Holomorphic Lipschitz Spaces

We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc all of whose non-null functions are nowhere differentiable at the boundary. Infinitely generated free algebras as well as infinite dimensional Banach spaces consisting of Lipschit...

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Bibliographic Details
Published in:	Mediterranean journal of mathematics Vol. 15; no. 3; pp. 1 - 20
Main Authors:	Bernal-González, L., Bonilla, A., López-Salazar, J., Seoane-Sepúlveda, J. B.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.06.2018 Springer Nature B.V
Subjects:	Algebra Banach spaces Borel sets Mathematical analysis Mathematics Mathematics and Statistics Subspaces lipschitzian function Lineability Secondary 15A03 46E10 Nowhere differentiable function Disc algebra 26A16 26A27 Spaceability Primary 30H50 Algebrability
ISSN:	1660-5446, 1660-5454
Online Access:	Get full text
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