Supported by National Natural Science Foundation of China(Grant Nos.11861045,11626239 and 11701449);China Scholarship Council(Grant No.201708410483);Education Department of Henan Province(Grant No.18A110037).
In this paper,we study the reiterated homogenization operators Lε=-div(A(x/ε,x/ε^(2))∇).We establish the homogenized problem and representation equa-tion by introducing the two correctors.As a consequence,we obtain...
In this paper, we obtain the boundedness of multilinear Calderón-Zygmund operators with kernels of Dini type and commutators with variable exponent λ-central BMO functions in variable exponent central Morrey spaces.
Supported by the National Natural Science Foundation of China(liT61055); Supported by the Inner Mongolia Autonomous Region Natural Science Foundation of China(2017MS0123)
This paper discusses the approximation problem of two kinds Durrmeyer rational interpolation operators in Orlicz spaces with weight functions,and gives a kind of Jackson type estimation of approximation order by means...
In this paper we introduce a new kind of Baskakov-Schurer-Szasz-Beta operators M^qn,p based on q-integers. We establish some direct results in the polynomial weighted space of continuous functions defined on the inter...
Supported by the Key Scientific and Technological Innovation Team Project in Shaanxi Province(2014KCT-15)
An absolute value equation is established for linear combinations of two operators.When the parameters take special values, the parallelogram law of operator type is given. In addition, the operator equation in litera...
Supported by the National Natural Science Foundation of China(11201003);Supported by the Education Committee of Anhui Province(KJ2012A133)
In this paper, we will obtain that the boundedness of multilinear n-dimensional fractional Hardy operators of variable order β(x) on variable exponent Herz-Morrey spaces.
Supported by the National Natural Science Foundation of China(11571211,11301318,11171197,11471200);Supported by the Fundamental Research Funds for the Central Universities(GK201301007)
In this note, some properties of the interior of numerical ranges of operators are established, and an alternative proof of Embry's theorem associated with the interior of a numerical ranges of an operator is given(se...
In this paper, we analyze a class of bounded radial operators on the weighted Bergman space A2α(Bn, d Vα), we get that these kinds of operators are diagonal with respect to the standard orthonomal basis. We also inv...
Supported by the NNSF of China(10771064); Supported by the Natural Science Foundation of Zhejiang Province(YT080197, Y6090036, Y6100219); Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924) Acknowledgement The author would like to express her thanks to her supervisor, Prof HU Zhang-jian, for his guidance.
The Bloch-type space Bω consists of all functions f ∈ H(B) for which||f||Bω =sup z∈Bω(z)|△f(z)|〈∞Let Tφ be the extended Cesaro operator with holomorphic symbol φ. The essential norm of Tφ as an ...
Foundation item: Supported by the Natural Science Foundation of Zhejiang Province(Y6090359, Y6090383); Supported by the Department of Education of Zhejiang Province(Z200803357)
In this paper we obtain the fundamental solution for a class of weighted BaouendiGrushin type operator L_(p,γ,α)u = ▽_γ·(|▽_γu|^(p-2)ρ~α▽_γu) on R^(m+n )with singularity at the origin,where ▽_γ is the gra...