Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

H-infinity and Complex Interpolation

Jaak Peetre, Per G. Nilsson

Abstract

This note is an (exact) copy of the report of Jaak Peetre, "H-infinity and Complex Interpolation". Published as Technical Report, Lund (1981). Some more recent general references have been added, some references updated though (in italics) and some misprints corrected.

H-infinity and Complex Interpolation

Abstract

This note is an (exact) copy of the report of Jaak Peetre, "H-infinity and Complex Interpolation". Published as Technical Report, Lund (1981). Some more recent general references have been added, some references updated though (in italics) and some misprints corrected.
Paper Structure (13 sections, 27 equations)

This paper contains 13 sections, 27 equations.

Table of Contents

  1. ${\Huge H}^{\infty }$ and complex interpolation.
  2. Jaak Peetre
  3. 0. Introduction
  4. 1. The space $H^{\infty }\left( \Sigma \right)$.
  5. 2. Digression on the existence of distributional boundary values.
  6. 3. Return to $H^{\infty }\left( \Sigma \right)$. The space $H\left( \overline{X}\right)$.
  7. 4. A new characterization of the Calderon(-Lions) space $\overline{X}_{\theta }$.
  8. 5. The second Calderon space $\overline{X}^{\theta }$.
  9. 6. Applications to the Calderon theory.
  10. 7. A vector valued (or better Banach bundle valued) interpolation problem.
  11. 8. A Banach bundle valued $\overline{\delta }$ problem.
  12. 9. Other problems for $H^{\infty }$.
  13. Notes.