Maximal Operators in R^2
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 the Lebesgue differentiation theorem. If the bases are balls or rectangles parall...
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| Format: | Others |
| Language: | en |
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2007
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| Online Access: | http://hdl.handle.net/10012/3159 |