Year: 2020
Type: article
Abstract: Let C ( k , p ) C(k,p) denote the smallest real number such that the estimate | a k | β€ C ( k , p ) β f β H p |a_k|\leq C(k,p)\|f\|_{H^p} holds for every f ( z ) = β n β₯ 0 a n z n f(z)=\sum _{n\geq 0}a_n z^n in the H p H^p space of the unit disc. We compute C ( 2 , p ) C(2,p) for 0 > p > 1 0>p>1 and C ( 3 , 2 / 3 ) C(3,2/3) , and identify the functions attaining equality in the estimate.
DOI: 10.1090/proc/14995
Authors: Ole Fredrik Brevig, Eero Saksman
Language: Latvian
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2945910179