Lipschitz spaces and mixed Lebesgue spaces
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- by W. R. Madych PDF
- Proc. Amer. Math. Soc. 85 (1982), 213-218 Request permission
Abstract:
It is shown that translation invariant linear operators which improve Lipschitz classes behave almost as well as the corresponding fractional Riesz transforms when applied to the mixed Lebesgue spaces. These results partially generalize some of the theorems concerning Riesz transforms and mixed Lebesgue classes due to Adams and Bagby, Lizorkin, and others.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 213-218
- MSC: Primary 46E30; Secondary 42B99, 46M35, 47A30
- DOI: https://doi.org/10.1090/S0002-9939-1982-0652445-1
- MathSciNet review: 652445