We analyze canonical operator space structures on the non-commutative L p spaces L p ' (M; ., |) constructed by interpolation a la Stein Weiss based on two normal semifinite faithful weights ., | on a W\*-algebra M. We show that there is only one canonical (i.e. arising by interpolation) operator sp
Non Integral Regularizing Operators on Lp- Spaces
✍ Scribed by Jürgen Voigt
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 157 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We present bounded positivity preserving operators from L~p~(ℝ) to L~q~ (ℝ), for 1 < p < ∞, 1/p‐1/q < 1/2, which are not integral operators.
📜 SIMILAR VOLUMES
In the first part of this paper, we give the following interpolation result on the analyticity (i.e. the property &(T&I ) T n & CÂn for all n # N) of an operator T on L p : If T is powerbounded on L p and L q as well as analytic on L p , then T is powerbounded and analytic on L r for all r strictly
## Abstract Boundedness of one‐sided maximal functions, singular integrals and potentials is established in __L__(__I__) spaces, where __I__ is an interval in **R**. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract Properties of integral operators with weak singularities arc investigated. It is assumed that __G__ ⊂ ℝ^n^ is a bounded domain. The boundary δ__G__ should be smooth concerning the Sobolev trace theorem. It will be proved that the integral operators \documentclass{article}\pagestyle{empt
We study and characterize the integral multilinear operators on a product of C K spaces in terms of the representing polymeasure of the operator. Some applications are given. In particular, we characterize the Borel polymeasures that can be extended to a measure in the product σ-algebra, generalizin