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The main part of this thesis, Chapter 4, contains results on the commutant of a semigroup of operators defined on the Hardy Space of the disk where the operators have hyperbolic non-automorphic symbol...
非球对称解的存在性.这里Ω={x|x∈Rn,n≥3,a<|x|<1} 是 Rn (n≥3) 中的环,其中0≤μ< μ=((n-2)/2})2,f(u)为已知函数.本文在讨论球对称解的性质的基础上,利用变分方法得到了方程的极小能量解的存在性,并且利用分支理论得到了方程的非球对称解.
Two new inequalities similar to Hardy- Hilbert’s inequality are given.
The reverse of the Hardy-Hilbrt's Integral inequality via Minkowski'sinequality in its general form is given. As an application, a special case is deduced.
New generalizations of Hardy-Hilbert's integral inequality and its reverse via new methods are established.
This paper deals with a relation between Hardy-Hilbert's integral inequality and Mulholland's integral inequality with a best constant factor, by using the Beta function and introducing a parameter A...
Hardy Type Inequalities For Integral Transforms Associated With A Singular Second Order Differential Operator.
The authors establish the Hardy integral inequality for commutators generated by Hardy operators and Lipschitz functions.
Four new different types of inequalities similar to Hardy-Hilbert's inequality are given.
Asymptotic Behavior Of The Approximation Numbers Of The Hardy-Type Operator From $L^p$ Into $L^q$.
By introducing some parameters and the function and improving the weight function, we obtain a generalization of Hilbert's integral inequality with the best constant factor. As its applications, we b...
On Best Extensions of Hardy-Hilbert's Inequality with Two Parameters.

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