Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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.

 

Estimates for operators in mixed weighted $L^ p$-spaces
HTML articles powered by AMS MathViewer

by Hans P. Heinig PDF
Trans. Amer. Math. Soc. 287 (1985), 483-493 Request permission

Abstract:

A weighted Marcinkiewicz interpolation theorem is proved. If $T$ is simultaneously of weak type $({p_i},{q_i})$, $i = 0,1$; $1 \leqslant {p_0} < {p_1} \leqslant \infty$ and $u$, $v$ certain weight functions, then $T$ is bounded from $L_v^p$ to $L_u^q$ for $0 < q < p$, $p \geqslant 1$. The result is applied to obtain weighted estimates for the Laplace and Fourier transform, as well as the Riesz potential.
References
Similar Articles
Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 287 (1985), 483-493
  • MSC: Primary 42B10; Secondary 44A10, 46M35, 47B38
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0768721-5
  • MathSciNet review: 768721