## Abstract We present bounded positivity preserving operators from __L__~__p__~(β) to __L__~__q__~ (__β__), for 1 < __p__ < β, 1/pβ1/q < 1/2, which are not integral operators.
On Integral Operators
β Scribed by Khalida Inayat Noor; Muhammad Aslam Noor
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 91 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Necessary and sufficient analytical conditions are determined for a singular integral operator of the form __aP + bQ__ with bounded measurable coefficients to be a Οβoperator on __L__~__p__~(Ξ) for all 1 < __p__ < β. where Ξ is a closed Lyapunov curve.
In this paper we establish a universality property of Fourier and Hankel convolution operators and Dunkl transforms.
## Abstract Consider a differential form __u__ in the image of an integral operator __K__ on a smooth domain __D__ in a Riemannian manifold, i.e. __u__(__y__) = __Kf__(__y__) = β«~__x__β__D__~ __f__(__x__) β§ __K__(__x, y__) for __y__ β __D__. If the kernel __K__ of the integral operator is sufficien
## Abstract Properties of integral operators with weak singularities arc investigated. It is assumed that __G__ β β^n^ is a bounded domain. The boundary Ξ΄__G__ should be smooth concerning the Sobolev trace theorem. It will be proved that the integral operators \documentclass{article}\pagestyle{empt