Maximal operators and capacity

Adams, David R.

doi:10.1090/S0002-9939-1972-0350314-1

Maximal operators and capacity

Author: David R. Adams
Journal: Proc. Amer. Math. Soc. 34 (1972), 152-156
MSC: Primary 42A92; Secondary 31B15
DOI: https://doi.org/10.1090/S0002-9939-1972-0350314-1
MathSciNet review: 0350314
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Abstract: It is shown that many maximal functions defined on the ${L_p}$ spaces are bounded operators on ${L_p}$ if and only if they satisfy a capacitary weak type inequality.

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