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

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

2006-11-13

arxiv.org/abs/math/0611363v1

Acta Math. Hungar. 113(2006), 159-169

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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 $L^{p}$ convergence case for this purpose.
Furthermore, Theorem 3 shows that our improvements are not trivial.

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