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 | References | Similar Articles | Additional Information
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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Additional Information
Keywords:
Capacity,
maximal functions,
Fourier series,
singular integrals,
<IMG WIDTH="29" HEIGHT="38" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="${L_p}$"> spaces
Article copyright:
© Copyright 1972
American Mathematical Society
