Algebras of Singular Integral Operators With Kernels Controlled by Multiple Norms

Nagel, Alexander/ Ricci, Fulvio/ Stein, Elias M./ Wainger, Stephen

ISBN 10: 1470434385 / ISBN 13: 9781470434380

Published by Amer Mathematical Society, 2018

About this Item

141 pages. 8.43x5.85x0.73 inches. In Stock.

Seller Inventory # zk1470434385

Bibliographic Details

• Title: Algebras of Singular Integral Operators With Kernels Controlled by Multiple Norms
• Publisher: Amer Mathematical Society
• Publication Date: 2018
• Language: English
• ISBN 10: 1470434385
• ISBN 13: 9781470434380
• Binding: Paperback
• Condition: Brand New
• Weight: 0.24 kilograms

About this title

Synopsis

The authors study algebras of singular integral operators on $mathbb Rn$ 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 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 $Lp$ 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.