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Embeddings of Lorentz—Marcinkiewicz spaces with mixed norms

Теоремы вложения для пространств Лоренца—Марцинкевн ча со смешанными нормам и

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Abstract

Статья посвящена тео ремам вложения прост ранствX(Y) функций f со смешанно й нор-мой:X(Y)={f∈M(Ω×Ω): ∥f∥X(Y)=∥∥f(x,.)∥Y∥X< ∞. При этомΩ=(0, ∞), M (Ω×Ω) — кла сс функций, измеримых по Лебегу наΩ×Ω, аX, Y, Z—фун кциональные пространства Лоренц а или Марцинкевича. Ис следуются вложенияX(Y) в пространстваZ(Ω×Ω).

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  1. Department of Pure Mathematics School of General studies, Australian National University, P.O.B. 4, 2600, A.C.T., Australia

    M. Milman

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  1. M. Milman
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Milman, M. Embeddings of Lorentz—Marcinkiewicz spaces with mixed norms. Analysis Mathematica 4, 215–223 (1978). https://doi.org/10.1007/BF01908990

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