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Non-archimedean topologies of countable type and associated operators

✍ Scribed by N. de Grande-de Kimpe


Publisher
Elsevier Science
Year
1987
Weight
649 KB
Volume
90
Category
Article
ISSN
1385-7258

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## Abstract Let __I__ = [__a__ , __b__ ] βŠ‚ ℝ, let 1 < __q__ ≀ __p__ < ∞, let __u__ and __v__ be positive functions with __u__ ∈ __L__ ~__p__ β€²~ (__I__ ) and __v__ ∈ __L__ ~__q__~ (__I__ ), and let __T__ : __L__ ~__p__~ (__I__ ) β†’ __L__ ~__q__~ (__I__ ) be the Hardy‐type operator given by equation