Vol. 68, No. 1, 1977

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 325: 1
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
On Lp, Lq multipliers of Fourier transforms

Richard Julian Bagby

Vol. 68 (1977), No. 1, 1–12
Abstract

Let m be a tempered distribution on Rn. We say m is an Lp, Lq multiplier (more briefly: m Mpq) if, for each ϕ ∈𝒮, the inverse Fourier transform of mϕ is in Lq, and there is a constant C such that ∥ℱ1(mϕ)q Cϕp for all such ϕ. The basic problem we shall consider is that of establishing sufficient conditions that a locally integrable function m Mpq in the case 1 < p < q < .

Mathematical Subject Classification
Primary: 42A18, 42A18
Milestones
Received: 12 February 1976
Published: 1 January 1977
Authors
Richard Julian Bagby