Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets. Memoirs of the American Mathematical Society; Bd. volume 245, number 1159 (4th of 6 numbers).

Hofmann, Steve; Mitrea, Dorina; Mitrea, Marius; Morris, Andrew J.

ISBN 10: 1470422603 / ISBN 13: 9781470422608

Published by Providence, American Mathematical Society, 2017

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03359 9781470422608 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2489266

Bibliographic Details

• Title: Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets. Memoirs of the American Mathematical Society; Bd. volume 245, number 1159 (4th of 6 numbers).
• Publisher: Providence, American Mathematical Society
• Publication Date: 2017
• Language: English
• ISBN 10: 1470422603
• ISBN 13: 9781470422608
• Binding: Softcover
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local T(b) theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local T(b) theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to hold on the entire set. Extrapolation results for Lp and Hardy space versions of these estimates are also established. Moreover, the authors prove square function estimates for integral operators associated with variable coefficient kernels, including the Schwartz kernels of pseudodifferential operators acting between vector bundles on subdomains with uniformly rectifiable boundaries on manifolds.

About the Author

Steve Hofmann, University of Missouri, Columbia.Dorina Mitrea, University of Missouri, Columbia.Marius Mitrea, University of Missouri, Columbia.Andrew J. Morris, University of Missouri, Columbia.