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Differentiability, porosity and doubling in metric measure spaces

✍ Scribed by Bate, David; Speight, Gareth


Book ID
118161710
Publisher
American Mathematical Society
Year
2012
Tongue
English
Weight
215 KB
Volume
141
Category
Article
ISSN
0002-9939

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Boundedness of Lusin-area and functions
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Let X be a doubling metric measure space. If X has the δ-annular decay property for some δ ∈ (0, 1], the authors then establish the boundedness of the Lusin-area function, which is defined via kernels modeled on the semigroup generated by the Schrâdinger operator, from localized spaces BMO ρ (X ) to