On Necessary and Sufficient Conditions for L p Estimates of Riesz Transforms Associated to Elliptic Operators on mathbb R n and Related Estimates is popular PDF and ePub book, written by Pascal Auscher in 2007, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, On Necessary and Sufficient Conditions for L p Estimates of Riesz Transforms Associated to Elliptic Operators on mathbb R n and Related Estimates can be Read Online from any device for your convenience.
On Necessary and Sufficient Conditions for L p Estimates of Riesz Transforms Associated to Elliptic Operators on mathbb R n and Related Estimates Book PDF Summary
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 $p2$ 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 $p2$ but in ranges different from the usual intervals $(1,2)$ and $(2,\infty)$.
Detail Book of On Necessary and Sufficient Conditions for L p Estimates of Riesz Transforms Associated to Elliptic Operators on mathbb R n and Related Estimates PDF
- Author : Pascal Auscher
- Release : 20 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821839416
- Genre : Mathematics
- Total Page : 102 pages
- Language : English
- PDF File Size : 17,8 Mb
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