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Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms (Memoirs of the American Mathematical Society)

Mathematical Analysis

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About the Author Alexander Nagel, University of Wisconsin-Madison, WI.Fulvio Ricci, Scuola Normale Superiore, Pisa, Italy.Elias M. Stein, Princeton University, NJ.Stephen Wainger, University of Wisconsin-Madison, WI. Product Description The authors study algebras of singular integral operators on $\mathbb R^n$ and nilpotent Lie groups that arise when considering the composition of Calderon-Zygmund operators with different homogeneities, such as operators occuring in sub-elliptic problems and those arising in elliptic problems. These algebras are characterized in a number of different but equivalent ways: in terms of kernel estimates and cancellation conditions, in terms of estimates of the symbol, and in terms of decompositions into dyadic sums of dilates of bump functions. The resulting operators are pseudo-local and bounded on $L^p$ for $1 \lt p \lt \infty $. While the usual class of Calderon-Zygmund operators is invariant under a one-parameter family of dilations, the operators studied here fall outside this class, and reflect a multi-parameter structure.

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Format: Paperback
ASIN: 1470434385
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 30 October 2018
Listed Since: 07 August 2018

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Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms (Memoirs of the American Mathematical Society)

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