期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
混合模空间中的q 光滑模 与 Hardy-Littlewood型定理
- (河北经贸大学 数学与统计学学院，河北 石家庄050061)
-
DOI：10.13763/j.cnki.jhebnu.nse.202201003
q-moduli of Smoothness and Hardy-Littlewood Type Theorem in Mixed Norm Spaces
摘要/Abstract
摘要：
研究了混合模空间中全纯函数的逼近性质与其边界函数值的光滑性的密切关系.采用q光滑模得出Jackson定理、q光滑模与本性K泛函的等价性，并在混合模空间中借助K泛函获得关于导数增长的Hardy-Littlewood定理和强逆估计.
Abstract：
Some aspects of the interplay between approximation properties of holomorphic functions in mixed norm spaces and the smoothness of its boundary values are discussed.We obtain Jackson theorem and the equivalence of a special qmodulus of smoothness and an intrinsic Kfunctional.Further,a generalization of HardyLittlewood theorem on the growth of derivatives and strong converse estimates are deduced by using Kfunctional in mixed norm spaces .
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参考文献 11
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