2007Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

BOUNDEDNESS OF GENERALIZED HIGHER COMMUTATORS OF MARCINKIEWICZ INTEGRALS

默会霞, 陆善镇

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Abstract

让是一个有限家庭局部地, integrable 工作。然后,我们如下介绍 Marcinkiwicz 积分的概括更高的整流器:在哪儿什么时候,并且ω度零是同类的并且满足取消条件,我们证明那从 Lp (n) 被围住到 L (n) 在哪儿 1 < p < n/ β和 1/s = 1/p - β / n。而且如果Ω也满足一些 Lq-Dini 状况,那么从 Lp (n) 被围住到(n) 并且在某些强壮的空格。文章扩大一些已知的结果。

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What this paper is about

让是一个有限家庭局部地, integrable 工作。然后,我们如下介绍 Marcinkiwicz 积分的概括更高的整流器:在哪儿什么时候,并且ω度零是同类的并且满足取消条件,我们证明那从 Lp (n) 被围住到 L (n) 在哪儿 1 < p < n/ β和 1/s = 1/p - β / n。而且如果Ω也满足一些 Lq-Dini 状况,那么从 Lp (n) 被围住到(n) 并且在某些强壮的空格。文章扩大一些已知的结果。

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Available abstract

让是一个有限家庭局部地, integrable 工作。然后,我们如下介绍 Marcinkiwicz 积分的概括更高的整流器:在哪儿什么时候,并且ω度零是同类的并且满足取消条件,我们证明那从 Lp (n) 被围住到 L (n) 在哪儿 1 < p < n/ β和 1/s = 1/p - β / n。而且如果Ω也满足一些 Lq-Dini 状况,那么从 Lp (n) 被围住到(n) 并且在某些强壮的空格。文章扩大一些已知的结果。

Key concepts: Mathematics, Commutator, Mathematical analysis, Pure mathematics, Algebra over a field, Lie conformal algebra

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