Vol. 90, No. 2, 1980

Recent Issues
Vol. 329: 1
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
On interpolation of Lp[a, b] and weighted Sobolev spaces

Zeev Ditzian

Vol. 90 (1980), No. 2, 307–323
Abstract

The goal of this paper is to characterize the interpolation spaces between Lp[a,b] or C[a,b] and the space of functions for which W(x)f(r)(x) belongs to Lp[a,b] or C[a,b]. In order to achieve this, for a class of weights W(x) the Peetre K functional is characterized.

Mathematical Subject Classification 2000
Primary: 46E35
Secondary: 46M35
Milestones
Received: 8 June 1979
Revised: 30 November 1979
Published: 1 October 1980
Authors
Zeev Ditzian