![On Necessary and Sufficient Conditions for Lp-estimates of Riesz Transforms Associated to Elliptic Operators on Rn and Related Estimates, Paperback / softback Book On Necessary and Sufficient Conditions for Lp-estimates of Riesz Transforms Associated to Elliptic Operators on Rn and Related Estimates, Paperback / softback Book](http://hive.dmmserver.com/media/640/97808218/9780821839416.jpg)
On Necessary and Sufficient Conditions for Lp-estimates of Riesz Transforms Associated to Elliptic Operators on Rn and Related Estimates Paperback / softback
by Pascal Auscher
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
This memoir focuses on $Lp$ estimates for objects associated to elliptic operators in divergence form: its semigroup, the gradient of the semigroup, functional calculus, square functions and Riesz transforms. The author introduces four critical numbers associated to the semigroup and its gradient that completely rule the ranges of exponents for the $Lp$ estimates. It appears that the case $p<2$ already treated earlier is radically different from the case $p>2$ which is new. The author thus recovers in a unified and coherent way many $Lp$ estimates and gives further applications. The key tools from harmonic analysis are two criteria for $Lp$ boundedness, one for $p<2$ and the other for $p>2$ but in ranges different from the usual intervals $(1,2)$ and $(2,\infty)$.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:75 pages, illustrations
- Publisher:American Mathematical Society
- Publication Date:28/02/2007
- Category:
- ISBN:9780821839416
Other Formats
- PDF from £59.40
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:75 pages, illustrations
- Publisher:American Mathematical Society
- Publication Date:28/02/2007
- Category:
- ISBN:9780821839416