The m-Hessian Operator on Some Weighted Energy Classes of Delta m-Subharmonic Functions

Hung V. V.; Quy H. N.

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The m-Hessian Operator on Some Weighted Energy Classes of Delta m-Subharmonic Functions

机译：达到M-Subharmonic函数的一些加权能量类的M-Hessian运算符

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摘要

In this paper, we construct a topology on the vector space delta F-m,F-chi(Omega). We also prove that with this topology it is quasi-Banach, nonseparable and non-reflexive. We also give a characterization for the class F-m,F-min{chi 1,F-chi 2}(Omega).

机译：在本文中，我们在矢量空间Delta F-M，F-Chi（Omega）上构建了拓扑。我们还证明了这种拓扑，它是准banach，不可分割和非反射。我们还为F-M类，F MIN {CHI 1，F-CHI 2}（OMEGA）提供了表征。

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来源
《Results in mathematics》 |2020年第3期|共24页
作者
Hung V. V.; Quy H. N.;
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作者单位

Tay Bac Univ Dept Math Sonla Viet Nam;

Univ Da Nang Univ Sci &

Educ Dept Math Danang Viet Nam;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
delta-Plurisubharmonic functions; m-subharmonic functions; m-hyperconvex domain; m-Hessian operator; Monge-Ampere operator; weighted functions; m-capacity; topological vector space; quasi-Banach space;

机译：Delta-plurisubharmonic函数;m-subharmonic函数;m-hyperconvex域;m-hessian运算符;Monge-Ampere运营商;加权功能;M-Capacity;拓扑矢量空间;准Banach空间;

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专利

1. The m-Hessian Operator on Some Weighted Energy Classes of Delta m-Subharmonic Functions [J] . Hung V. V., Quy H. N. Results in mathematics . 2020,第3期

机译：达到M-Subharmonic函数的一些加权能量类的M-Hessian运算符
2. On some weighted Hardy type classes of one-parametric holomorphic functions. II. Partial Volterra operators in parameter [J] . Mikhailov SE. Journal of Mathematical Analysis and Applications . 1998,第2期

机译：关于一参数全纯函数的加权Hardy类型类。二。参数中的部分Volterra运算符
3. Certain Classes of Operators on Some Weighted Hyperbolic Function Spaces [J] . A. El-Sayed Ahmed, Amnah E. Shammaky Journal of Mathematics . 2021,第a期

机译：某些加权双曲函数空间上的某些阶段运算符
4. On variational ground of the m-Hessian operators [C] . N. V. Filimonenkova, N. M. Ivochkina International Workshop on Advances in Mathematical Analysis of Partial Differential Equations . 2014

机译：关于M-Hessian运营商的变分地
5. Weighted Composition Operators Acting on Some Classes of Banach Spaces of Analytic Functions [D] . Hmidouch, Nacir. 2017

机译：作用于分析功能的某些类别的Banach空间的加权组成算子
6. SOME FUNCTION CLASSES CONNECTED WITH PARTIALLY HYPOELLIPTIC DIFFERENTIAL OPERATORS [O] . Jöran Friberg 1962

机译：与部分低椭圆差分算子相关的某些函数类
7. On Some Weighted Hardy Type Classes of One-Parametric Holomorphic Functions. II. Partial Volterra Operators in Parameter [O] . Mikhailov S.E 1998

机译：一参数全纯函数的一些加权Hardy类型类。二。参数中的部分Volterra运算符

The m-Hessian Operator on Some Weighted Energy Classes of Delta m-Subharmonic Functions

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