Mock Morrey spaces

Adams, David

doi:10.1090/S0002-9939-2013-11303-1

Mock Morrey spaces
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by David R. Adams

Proc. Amer. Math. Soc. 142 (2014), 881-886

DOI: https://doi.org/10.1090/S0002-9939-2013-11303-1

Published electronically: November 27, 2013

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Abstract:

For any function $f$ belonging to $Q^{p,\lambda }$, a certain proper subspace of the classical Morrey space $L^{p, \lambda }$, a sharp capacity weak-type estimate is obtained for its Riesz potential $I_{\alpha } f$. This extends a 1969 result due to Franco Conti.

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