Gradients of inner functions in strictly pseudoconvex domains
Sign Up to like & getrecommendations! Published in 2018 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-018-1777-y
Abstract: Assume that Ω is a bounded strictly pseudoconvex domain with C2 boundary. We prove the existence of a nonconstant inner function on Ω with gradient in L1(Ω). read more here.
Keywords: gradients inner; pseudoconvex domains; functions strictly; inner functions ... See more keywords
On the cyclic behavior of singular inner functions in Besov and sequence spaces
Sign Up to like & getrecommendations! Published in 2025 at "Banach Journal of Mathematical Analysis"
DOI: 10.1007/s43037-025-00467-w
Abstract: We show the existence of singular inner functions that are cyclic in some Besov-type spaces of analytic functions over the unit disc. Our sufficient condition is stated only in terms of the modulus of smoothness… read more here.
Keywords: inner functions; behavior singular; document; cyclic behavior ... See more keywords
A Central Limit Theorem for inner functions
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2022.108318
Abstract: A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures. read more here.
Keywords: inner functions; theorem; theorem inner; central limit ... See more keywords
Finite Blaschke products and the construction of rational Γ-inner functions ☆
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.10.035
Abstract: Abstract Let Γ = def { ( z + w , z w ) : | z | ≤ 1 , | w | ≤ 1 } ⊂ C 2 . A Γ-inner function is… read more here.
Keywords: rational inner; inner; inner function; finite blaschke ... See more keywords