Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

ISBN-13: 9781470434380 / Angielski / Miękka / 2018 / 141 str.

Alexander Nagel;Fulvio Ricci;Elias M. Stein

Spis treści

• Introduction
• The Classes $\mathcal P(\mathbf E)$ and $\mathcal M(\mathbf E)$
• Marked partitions and decompositions of $\mathbb R^N$
• Fourier transform duality of kernels and multipliers
• Dyadic sums of Schwartz functions
• Decomposition of multipliers and kernels
• The rank of $\mathbf E$ and integrability at infinity
• Convolution operators on homogeneous nilpotent Lie groups
• Composition of operators
• Convolution of Calderon-Zygmund kernels
• Two-flag kernels and multipliers
• Extended kernels and operators
• The role of pseudo-differential operators
• Appendix I: Properties of cones $\Gamma (\mathbf A)$
• Appendix II: Estimates for homogeneous norms
• Appendix III: Estimates for geometric sums
• Bibliography.