Browsing Mathematics (Faculty of) by Author "Choi, Keon"
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Maximal Operators in R^2
Choi, Keon (University of Waterloo, 2007-08-13)A maximal operator over the bases $\mathcal{B}$ is defined as \[Mf(x) = \sup_{x \in B \in \mathcal{B}} \frac{1}{|B|}\int_B |f(y)|dy. \] The boundedness of this operator can be used in a number of applications including ...