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Comparison of the classical BMO with the BMO spaces associated with operators and applications

Deng, Donggao; Duong, Xuan Thinh; Sikora, Adam; Yan, Lixin

Description

Let L be a generator of a semigroup satisfying the Gaussian upper bounds. A new BMOL space associated with L was recently introduced in [15] and [16]. We discuss applications of the new BMOL spaces in the theory of singular integration. For example we obtain BMOL estimates and interpolation results for fractional powers, purely imaginary powers and spectral multipliers of self adjoint operators. We also demonstrate that the space BMOL might coincide with or might be essentially different from...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
URI: http://hdl.handle.net/1885/29881
Source: Revista Matematica Iberoamericana

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