Isomorphic classification of $L_{p,q}$-spaces: the case $p=2, 1\leq q< 2$
نویسندگان
چکیده
منابع مشابه
Isomorphic Classification of Atomic Weak L Spaces
Let (Ω,Σ, μ) be a measure space and let 1 < p < ∞. The weak L space L(Ω,Σ, μ) consists of all measurable functions f such that ‖f‖ = sup t>0 t 1 p f∗(t) < ∞, where f∗ is the decreasing rearrangement of |f |. It is a Banach space under a norm which is equivalent to the expression above. In this paper, we pursue the problem of classifying weak L spaces isomorphically when (Ω,Σ, μ) is purely atomi...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2018
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/14058