Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A short proof of an inequality of Carleson’s
HTML articles powered by AMS MathViewer

by Charles W. Neville
Proc. Amer. Math. Soc. 65 (1977), 131-132
DOI: https://doi.org/10.1090/S0002-9939-1977-0444958-0

Abstract:

We give a simple proof that if ${a_i},i = 1,2, \ldots$, is a uniformly separated sequence in the unit disk, then $\Sigma (1 - |{a_i}{|^2})|f({a_i}){|^p} \leqslant K\left \|f\right \|_p^p$, for all $f \in {H^p}$ and $1 \leqslant p < \infty$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30A78, 30A80
  • Retrieve articles in all journals with MSC: 30A78, 30A80
Bibliographic Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 65 (1977), 131-132
  • MSC: Primary 30A78; Secondary 30A80
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0444958-0
  • MathSciNet review: 0444958