Dirichlet-Morrey空间中具有解的复线性微分方程

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2023-02-08 DOI:10.1007/s10476-023-0205-7

Y. Sun, B. Liu, J. L. Liu

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引用次数: 0

摘要

本文给出了Dirichlet–Morrey空间中函数的n阶导数准则。此外，还得到了复线性微分方程$$｛f^｛\left（n\right）｝+｛A_｛n-1｝｝\left（z\right）｛f^{\left（｛n-1｝\right））｝+\cdots+｛A_1｝\left（z\right）｛f ^\prime｝+｝A_0｝\lif=｛A_n｝\left，其中Aj（z）是单位盘中的解析函数，j=0，…，n。

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Complex Linear Differential Equations with Solutions in Dirichlet–Morrey Spaces

The nth derivative criterion for functions belonging to the Dirichlet–Morrey space ${\cal D}_p^\lambda $ is given in this paper. Furthermore, two sufficient conditions for coefficients of the complex linear differential equation

$${f^{\left( n \right)}} + {A_{n - 1}}\left( z \right){f^{\left( {n - 1} \right)}} + \cdots + {A_1}\left( z \right){f^\prime } + {A_0}\left( z \right)f = {A_n}\left( z \right)$$

are obtained such that all solutions belong to ${\cal D}_p^\lambda $, where A_j(z) are analytic functions in the unit disc, j = 0,…,n.

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.