3 papers
math.FA2023
Helson-Lowdenslager and de Branges type theorems in the setting of continuous rotationally symmetric norms
Apoorva Singh, Niteesh Sahni
A Helson-Lowdenslager type result has been proved by Chen in the context of Lebesgue spaces of the unit circle equipped with a continuous rotationally symmetric norm by studying th…
math.FA2022
Multiplication by finite Blaschke factors on a general class of Hardy spaces
Apoorva Singh, Niteesh Sahni
A broader class of Hardy spaces and Lebesgue spaces have been introduced recently on the unit circle by considering continuous -dominating normalized gauge norms instead o…
math.FA2012
Lax-Halmos Type Theorems in H^p Spaces
Niteesh Sahni, Dinesh Singh
In this paper we characterize for 0 < p \leq \infty, the closed subspaces of Hp that are invariant under multiplication by all powers of a finite Blaschke factor B, except the firs…