HORMANDER CONDITION AND A CONVOLUTION OPERATOR GENERALIZING RIESZ-POTENTIALS

Authors
BAK JG
Citation
Jg. Bak, HORMANDER CONDITION AND A CONVOLUTION OPERATOR GENERALIZING RIESZ-POTENTIALS, Proceedings of the American Mathematical Society, 120(2), 1994, pp. 647-649
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
2
Year of publication
1994
Pages
647 - 649
Database
ISI
SICI code
0002-9939(1994)120:2<647:HCAACO>2.0.ZU;2-4
Abstract
Under certain hypotheses including a Hormander-type condition on the c onvolution kernel K we show that K f belongs to the space BMO(R(n)) whenever f belongs to the space L(p, infinity) (R(n)) (weak L(p)) for certain p.