Search
Search Results
-
Hardy–Littlewood–Sobolev inequality on the parabolic biangle
We define the heat semigroup associated with a system of bivariate Jacobi polynomials which are orthogonal with respect to a probability measure on...
-
On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective
This is a survey article about recent developments in dimension-free estimates for maximal functions corresponding to the Hardy–Littlewood averaging...
-
On Tangential Boundary Behavior of Functions from Hardy Type Spaces
AbstractIt is well known that functions from the Hardy spaces have limit values almost everywhere on the boundary. For example, in case of the unit...
-
Two Weighted Norm Inequalities of Potential Type Operator on Herz Spaces
We extend the two weighted norm inequalities for the potential type operators to Herz spaces. As an application of this result, we have the two...
-
Meromorphic Bergman Spaces
We introduce new spaces of holomorphic functions on the pointed unit disc in ℂ generalizing the classical Bergman spaces. We prove some fundamental...
-
Refinements of Local Fractional Hilbert-Type Inequalities
We study the refinements of several well-known local fractional Hilbert-type inequalities obtained by interpolating the Lebesgue norms of local...
-
Some estimates of operators on Local mixed Morrey-type spaces
In this paper, we used two different methods to establish the boundedness of Hardy-Littlewood maximal operators and Hardy operators on local mixed...
-
New inequalities related to superquadratic functions
By using superquadracity, the new inequalities in this paper generalize a result of Hardy–Littlewood–Pólya and refine Jensen’s type inequalities....
-
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators
We obtain weighted mixed inequalities for operators associated to a critical radius function. We consider Schrödinger Calderón-Zygmund operators of ( s ,...
-
Back to Math
Algebraic number theory was extensively used in Wang’s joint research with Hua Loo-Keng in establishing the number-theoretic method for approximate...
-
Operator and Norm Inequalities and Related Topics
Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to...
-
A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities
We present a generic functional inequality on Riemannian manifolds, both in additive and multiplicative forms, that produces well known and genuinely...
-
A note on Maz'ya-Verbitsky capacitary inequalities
We present a proof of Maz'ya-Verbitsky capacitary inequalities in terms of Bessel potentials. It will be seen that the proof mainly relies on the...