Abstract
We define new integral operators on the Haydy space similar to Szego 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.
Highlights
Lorem ipsum dolor sit amet, consectetuer Let Cn denote the Euclidean space of complex dimension n
Vestibulum ut, product on Cn is given by placerat ac, adipiscing vitae, felis
We show that the Szego type operators Tm,N defined in (1.1) are coefficient multipliers
Summary
(2020) A Growth Behavior of Szego Type Operators. Received: August 6, 2020 Accepted: September 7, 2020 Published: September 10, 2020
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
