Riesz Transforms Associated With Heisenberg Groups And Grushin Operators

Riesz Transforms Associated With Heisenberg Groups And Grushin Operators

We characterise the higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. We also prove the boundedness of the higher order Riesz transforms associated to the Hermite operator. Using transference theorem...

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Bibliographic Details
Main Author: Sanjay, P K
Other Authors: Thangavelu, Sundaram
Language:en_US
Published: 2015
Subjects:
Riesz Transforms
Heisenberg Groups
Grushin Operators
Differential Operators
Heisenberg Group
Hermite Polynomials
Hermite Functions
Laguerre Functions
Hermite Expansion
Laguerre Expansion
Mathematics
Online Access:http://etd.iisc.ernet.in/handle/2005/2496
http://etd.ncsi.iisc.ernet.in/abstracts/3223/G25451-Abs.pdf

Internet

http://etd.iisc.ernet.in/handle/2005/2496
http://etd.ncsi.iisc.ernet.in/abstracts/3223/G25451-Abs.pdf

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