English

A Remark on "Two-Sided" Monotonicity Condition: An Application to $L^{p}$ Convergence

Classical Analysis and ODEs 2007-05-23 v1

Abstract

To verify the universal validity of the "two-sided" monotonicity condition introduced in [8], we will apply it to include more classical examples. The present paper selects the LpL^{p} convergence case for this purpose. Furthermore, Theorem 3 shows that our improvements are not trivial.

Keywords

Cite

@article{arxiv.math/0611363,
  title  = {A Remark on "Two-Sided" Monotonicity Condition: An Application to $L^{p}$ Convergence},
  author = {Rui-Jun Le and Song-Ping Zhou},
  journal= {arXiv preprint arXiv:math/0611363},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:46:12.067Z