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Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator

โœ Scribed by Sawyer, Eric


Book ID
118248648
Publisher
American Mathematical Society
Year
1984
Tongue
English
Weight
618 KB
Volume
281
Category
Article
ISSN
0002-9947

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Weighted Lorentz Spaces and the Hardy Op
โœ M.J. Carro; J. Soria ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 389 KB

We find a new expression for the norm of a function in the weighted Lorentz space, with respect to the distribution function, and obtain as a simple consequence a generalization of the classical embeddings \(L^{r, 1} \subset \cdots \subset L^{p} \subset \cdots \subset L^{p . r}\) and a new definitio