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Weak Operator Topology, Operator Ranges and Operator Equations via Kolmogorov Widths

✍ Scribed by M. I. Ostrovskii; V. S. Shulman

Publisher
SP Birkhäuser Verlag Basel
Year
2009
Tongue
English
Weight
296 KB
Volume
65
Category
Article
ISSN
0378-620X

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## Abstract Let __I__ = [__a__ , __b__ ] ⊂ ℝ, let 1 < __q__ ≤ __p__ < ∞, let __u__ and __v__ be positive functions with __u__ ∈ __L__ ~__p__ ′~ (__I__ ) and __v__ ∈ __L__ ~__q__~ (__I__ ), and let __T__ : __L__ ~__p__~ (__I__ ) → __L__ ~__q__~ (__I__ ) be the Hardy‐type operator given by equation