Multiplier Theorems on Anisotropic Hardy Spaces

dc.contributor.advisor	Bownik, Marcin	en_US
dc.contributor.author	Wang, Li-An	en_US
dc.creator	Wang, Li-An	en_US
dc.date.accessioned	2012-10-26T04:04:21Z
dc.date.available	2012-10-26T04:04:21Z
dc.date.issued	2012
dc.description.abstract	We extend the theory of singular integral operators and multiplier theorems to the setting of anisotropic Hardy spaces. We first develop the theory of singular integral operators of convolution type in the anisotropic setting and provide a molecular decomposition on Hardy spaces that will help facilitate the study of these operators. We extend two multiplier theorems, the first by Taibleson and Weiss and the second by Baernstein and Sawyer, to the anisotropic setting. Lastly, we characterize the Fourier transforms of Hardy spaces and show that all multipliers are necessarily continuous.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/12429
dc.language.iso	en_US	en_US
dc.publisher	University of Oregon	en_US
dc.rights	All Rights Reserved.	en_US
dc.subject	Fourier analysis	en_US
dc.subject	Hardy spaces	en_US
dc.subject	Harmonic analysis	en_US
dc.title	Multiplier Theorems on Anisotropic Hardy Spaces	en_US
dc.type	Electronic Thesis or Dissertation	en_US

Files

Now showing 1 - 1 of 1