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QUASI RIESZ TRANSFORMS, HARDY SPACES AND GENERALISED SUB-GAUSSIAN HEAT KERNEL ESTIMATES

Part of: Partial differential equations on manifolds; differential operators Difference equations Harmonic analysis in several variables Markov processes Elliptic equations and systems Difference and functional equations Parabolic equations and systems

Published online by Cambridge University Press:  10 August 2015

LI CHEN
LI CHEN*
Affiliation:
Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM, Consejo Superior de Investigaciones Científicas,C/Nicolás Cabrera13–15, E-28049 Madrid, Spain email li.chen@icmat.es
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Abstract

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Keywords

Riesz transformHardy spacemetric measure spacegraphheat kernel estimatePoincaré inequalitySobolev inequality

MSC classification

Primary: 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
Secondary: 35K08: Heat kernel 39A12: Discrete version of topics in analysis 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B35: Function spaces arising in harmonic analysis 58J35: Heat and other parabolic equation methods 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)

Information

Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 508 - 510
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

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