There is little work concerning the properties of quaternionic operators acting on slice regular function spaces defined on quaternions.In this paper,we present an equivalent characterization for the boundedness of th...There is little work concerning the properties of quaternionic operators acting on slice regular function spaces defined on quaternions.In this paper,we present an equivalent characterization for the boundedness of the product operator C_(φ)D^(m) acting on Bloch-type spaces of slice regular functions.After that,an equivalent estimation for its essential norm is established,which can imply several existing results on holomorphic spaces.展开更多
We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty ...We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are an affine function.展开更多
This paper is aimed at the derivation of a discrete data smoothing function for the discrete Dirichlet condition in a regular grid on the surface of a spheroid.The method employed here is the local L^2-seminorm minimi...This paper is aimed at the derivation of a discrete data smoothing function for the discrete Dirichlet condition in a regular grid on the surface of a spheroid.The method employed here is the local L^2-seminorm minimization,through Euler-Lagrange method,for the Beltrami operator.The method results in a weighted average of the surrounding points in a te mplate based on the first order Taylor expansion of the unknown function under consideration.The coefficients of the weighted average are calculated and used to smooth the Geoid height data in Iran,derived from the EGM2008 geopotential model.展开更多
In this paper the compositions(x^(μ)_(+))_(-)^(-s),(x_(+)^(μ))_(+)^(-s),(|x|^(μ))_(-)^(-s)and(|x|^(μ))_(-)^(-s)of distributions x_(+)^(μ),|x|^(μ)and x^(-s)are considered.They are defined via neutrix calculusfor...In this paper the compositions(x^(μ)_(+))_(-)^(-s),(x_(+)^(μ))_(+)^(-s),(|x|^(μ))_(-)^(-s)and(|x|^(μ))_(-)^(-s)of distributions x_(+)^(μ),|x|^(μ)and x^(-s)are considered.They are defined via neutrix calculusforμ>0,s=1,2,...andμs∈Z^(+).In addition,the composition of x^(-s)ln|x|andis also defined for r,s∈Z^(+).展开更多
基金supported by the National Natural Science Foundation of China(11701422).
文摘There is little work concerning the properties of quaternionic operators acting on slice regular function spaces defined on quaternions.In this paper,we present an equivalent characterization for the boundedness of the product operator C_(φ)D^(m) acting on Bloch-type spaces of slice regular functions.After that,an equivalent estimation for its essential norm is established,which can imply several existing results on holomorphic spaces.
文摘We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are an affine function.
文摘This paper is aimed at the derivation of a discrete data smoothing function for the discrete Dirichlet condition in a regular grid on the surface of a spheroid.The method employed here is the local L^2-seminorm minimization,through Euler-Lagrange method,for the Beltrami operator.The method results in a weighted average of the surrounding points in a te mplate based on the first order Taylor expansion of the unknown function under consideration.The coefficients of the weighted average are calculated and used to smooth the Geoid height data in Iran,derived from the EGM2008 geopotential model.
基金Tubitak(Scientific and Technological Research Council of Turkey).
文摘In this paper the compositions(x^(μ)_(+))_(-)^(-s),(x_(+)^(μ))_(+)^(-s),(|x|^(μ))_(-)^(-s)and(|x|^(μ))_(-)^(-s)of distributions x_(+)^(μ),|x|^(μ)and x^(-s)are considered.They are defined via neutrix calculusforμ>0,s=1,2,...andμs∈Z^(+).In addition,the composition of x^(-s)ln|x|andis also defined for r,s∈Z^(+).
