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Optimal Domains for Kernel Operators via Interpolation
Author(s) -
Curbera Guillermo P.,
Ricker Werner J.
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200210)244:1<47::aid-mana47>3.0.co;2-b
Subject(s) - mathematics , pure mathematics , invariant (physics) , kernel (algebra) , mathematical physics
The problem of finding optimal lattice domains for kernel operators with values in rearrangement invariant spaces on the interval [0,1] is considered. The techniques used are based on interpolation theory and integration with respect to C ([0, 1])–valued measures.