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 2020 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.

 

Weighted inequalities for the maximal geometric mean operator
HTML articles powered by AMS MathViewer

by Xiangrong Yin and Benjamin Muckenhoupt PDF
Proc. Amer. Math. Soc. 124 (1996), 75-81 Request permission

Abstract:

For nonnegative Borel measures $\mu$ on $R^1$ and for the maximal geometric mean operator $G_f$, we characterize the weight pairs $(w,v)$ for which $G_f$ is of weak type $(p,p)$ and of strong type $(p,p)$, $0<p<\infty$. No doubling conditions are needed. We also note that a previously published different characterization for the strong type inequality for $G_f$ has an incorrect proof.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 26D15, 42B25
  • Retrieve articles in all journals with MSC (1991): 26D15, 42B25
Additional Information
  • Xiangrong Yin
  • Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
  • Benjamin Muckenhoupt
  • Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
  • Received by editor(s): January 26, 1993
  • Received by editor(s) in revised form: January 31, 1994, and May 18, 1994
  • Communicated by: J. Marshall Ash
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 75-81
  • MSC (1991): Primary 26D15, 42B25
  • DOI: https://doi.org/10.1090/S0002-9939-96-03252-2
  • MathSciNet review: 1307575