Hostname: page-component-7dd5485656-wlg5v Total loading time: 0 Render date: 2025-10-29T22:45:35.007Z Has data issue: false hasContentIssue false
  • English
  • Français

SPECTRAL MULTIPLIERS FOR HARDY SPACES ASSOCIATED WITH SCHRÖDINGER OPERATORS WITH POLYNOMIAL POTENTIALS

Published online by Cambridge University Press:  23 October 2000

JACEK DZIUBAŃSKI
JACEK DZIUBAŃSKI
Affiliation:
Institute of Mathematics, University of Wrocław, Plac Grunwaldzki 2/4, 50-384 Wrocław, Poland; e-mail: jdziuban@math.uni.wroc.pl
Get access

Abstract

Let Tt be the semigroup of linear operators generated by a Schrödinger operator − A = Δ − V, where V is a non-negative polynomial, and let ∫∞0λdEA(λ) be the spectral resolution of A. We say that f is an element of HpA if the maximal function [Mscr]f(x) = supt>0[mid ]Ttf(x)[mid ] belongs to Lp. We prove a criterion of Mihlin type on functions F which implies boundedness of the operators F(A) = ∫∞0F(λ)dEA(λ) on HpA, 0 < p [les ] 1.

Information

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 5 , September 2000 , pp. 571 - 581
Copyright
© The London Mathematical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

Footnotes

Research partially supported by the European Commission via TMR network ‘Harmonic Analysis’, by Polish Grant from KBN 2 P03A 058 14, and by the Foundation for Polish Sciences, Subsidy 3/99.