一类变参数调和函数在卷积阶上的一致性

Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI:10.24193/subbmath.2023.2.04

G. Sâlâgean, Á. O. Páll-Szabó

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引用次数: 0

摘要

利用变参数调和函数的修改Hadamard积或卷积，结合一个积分算子，我们研究了这些函数何时属于给定的类。根据贝纳兹(U. Bednarz)和索科尔(J. Sokol)的思想，我们确定了三类函数的卷积一致性的阶数，并利用卷积算子确定了具有不同参数的调和函数的阶数。

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On the order of convolution consistence of certain classes of harmonic functions with varying arguments

"Making use of a modi ed Hadamard product or convolution of harmonic functions with varying arguments, combined with an integral operator, we study when these functions belong to a given class. Following an idea of U. Bednarz and J. Sokol we de ne the order of convolution consistence of three classes of functions and determine it for certain classes of harmonic functions with varying arguments de ned using a convolution operator."

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Studia Universitatis BabesBolyai Geologia

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审稿时长

31 weeks