Bergman投影作用于加权混合范数空间的有界性

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI:10.55730/1300-0098.3387

Ivana Savković

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引用次数: 0

摘要

：我们证明了Rn中光滑有界域上的加权混合范数空间上的Bergman投影对于该空间的一定参数范围是有界的，并假设了一定的权重条件。证明依赖于根据f的积分均值对MP（pγf，r）的积分均值的估计。这个结果补充了早先关于密切相关空间Lp，qα上Pγ有界性的结果(Ω)

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Boundedness of Bergman projections acting on weighted mixed norm spaces

: We prove that Bergman projections on weighted mixed norm spaces on smoothly bounded domains in R n are bounded for a certain range of parameters of such spaces and assuming certain conditions on weights. The proof relies on estimates of integral means of M p ( P γ f, r ) in terms of integral means of f . This result complements earlier result on boundedness of P γ on a closely related space L p,qα (Ω)

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.