TITLE:
A Growth Behavior of Szegö Type Operators
AUTHORS:
Jongho Yang
KEYWORDS:
Szegö Projection, Hausdorff-Young Theorem, Coeffcient Multiplier, Stein Interpolation Theorem
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.10 No.9,
September
10,
2020
ABSTRACT: We define new integral
operators on the Haydy space similar to Szegö projection. We show that these operators map
from Hp to H2 for some 1 ≤ p 2, where the range of p is depending
on a growth condition. To prove that, we generalize the Hausdorff-Young Theorem
to multi-dimensional case.