In this note, we introduce a family of Bergman–Morrey spaces on the unit disc. We obtain the Carleson embedding theorem and characterize the norm and essential norm of integral operatorsTg\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\...
{1-\alpha/n}}\int_{|x-y|<r}|\Omega(x-y)f(y)|\,dy.\end{equation*} In this article, we will use the idea of Hedberg to reprovethat the operators $T_{\Omega,\alpha}$ and $M_{\Omega,\alpha}$ are bounded from$L^p(\mathbb R^n)$ to $L^q(\mathbb R^n)$ provided ...
GENERALIZED LOCAL MORREY SPACES AND FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL Let M_(Ω,α) and I_(Ω,α) be the fractional maximal and integral operators with rough kernels, where 0 < α < n. We study the continuity properties of M_......
Boundedness of the Maximal and Singular Operators on Generalized Orlicz–Morrey Spaces We consider generalized Orlicz–Morrey spaces \\(M_{\\Phi},\\varphi\\,(\\mathbb{R}_{n})\\) including their weak versions. In these generalized spaces we p... F Deringoz,VS Guliyev,S Samko - Springer...
Maximal operator and Calderon–Zygmund operators in local Morrey–Lorentz spaces: Integral Transforms and Special Functions: Vol 27, No 11doi:10.1080/10652469.2016.1227329LocalMorrey–LorentzspacesmaximaloperatorCalderon–ZygmundoperatormaximalCalderon–Zygmund...
Morrey空间积分算子Volterra型运营商有界性紧凑性In this note,we characterize the boundedness of the Volterra type operator Tg and its related integral operator Ig on analytic Morrey spaces.Furthermore,the norm and essential norm of those operators are given.As a corollary,we get the compactness of ...
As a corollary, we get the compactness of those operators.PengTaoDepartmentLiDepartmentJunMingDepartmentLiuDepartmentZengJianDepartmentLouDepartmentSpringerScience China MathematicsP.T. Li, J.M. Liu and Z.J. Lou, Integral operators on analytic Morrey spaces, Sci China Math. http://arxiv.org/abs/...
The weighted inequalities for the commutators of some singular integral operators on the Morrey spaces L p,φ (ω) are obtained. As an application, it is proved that, for the nondivergence elliptic equation ∑ i,j=1 n a ij u x i x j =f, if f belongs to L p,φ (ω), then u...
We show a characterization for the boundedness of the commutators for bilinear fractional integral operators Bα (0 < α < n) on Morrey spaces. Moreover, we obtain that if b ∈ CMO, then the commutators [b, Bα]i (i = 1, 2) are separately compact operators on Morrey spaces where CM...
BANACH spacesVECTOR spacesA family of Bergman-Morrey type spaces in the unit disc are introduced. The boundedness of the embedding from Bergman-Morrey type spaces to a class of tent spaces is studied. The boundedness, compactness, norm and essential norm of Volterra integral op...