Vol. 44, No. 2, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 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 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Abel summability of conjugate integrals

S. P. Philipp

Vol. 44 (1973), No. 2, 693–700
Abstract

It is proved here that the conjugate Fourier-Stieltjes integral of a finite-valued Borel measure μ on Euclidean k-space, k 1, taken with respect to a Calderon-Zygmund kernel in Lip α,0 < α < 1, is almost everywhere (with respect to Lebesgue measure) Abel summable to the conjugate function of μ taken with respect to the above mentioned kernel. This has been already established for k 8 and for k even.

Mathematical Subject Classification
Primary: 42A92
Secondary: 44A25, 42A40
Milestones
Received: 3 March 1971
Published: 1 February 1973
Authors
S. P. Philipp