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Regular compact factorization of integral operators in Lp

✍ Scribed by V. B. Korotkov

Publisher
SP MAIK Nauka/Interperiodica
Year
1982
Tongue
English
Weight
283 KB
Volume
32
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES

Non Integral Regularizing Operators on L
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## 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.

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## Abstract Let 1 ≀ __p__ ≀ ∞. A subset __K__ of a Banach space __X__ is said to be relatively __p__ ‐compact if there is an γ€ˆ__x__~__n__~ 〉 ∈ __l__^__s__^ ~__p__~ (__X__) such that for every __k__ ∈ __K__ there is an γ€ˆ__Ξ±__~__n__~ 〉 ∈ __l__~__p__ β€²~ such that __k__ = Οƒ^∞^~__n=1__~ __Ξ±__~__n__~ _