Estimates for operators in mixed weighted $L^ p$-spaces
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- by Hans P. Heinig PDF
- Trans. Amer. Math. Soc. 287 (1985), 483-493 Request permission
Abstract:
A weighted Marcinkiewicz interpolation theorem is proved. If $T$ is simultaneously of weak type $({p_i},{q_i})$, $i = 0,1$; $1 \leqslant {p_0} < {p_1} \leqslant \infty$ and $u$, $v$ certain weight functions, then $T$ is bounded from $L_v^p$ to $L_u^q$ for $0 < q < p$, $p \geqslant 1$. The result is applied to obtain weighted estimates for the Laplace and Fourier transform, as well as the Riesz potential.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 287 (1985), 483-493
- MSC: Primary 42B10; Secondary 44A10, 46M35, 47B38
- DOI: https://doi.org/10.1090/S0002-9947-1985-0768721-5
- MathSciNet review: 768721