Lipschitz spaces and mixed Lebesgue spaces

Madych, W. R.

doi:10.1090/S0002-9939-1982-0652445-1

Lipschitz spaces and mixed Lebesgue spaces
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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.

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