TY - JOUR
T1 - Untersuchungen zur abgeschnittenen Hilbert-Transformation von BMO-Funktionen und VMO-Funktionen
AU - Boche, Holger
PY - 1999
Y1 - 1999
N2 - The behaviour of the truncated Hilbert transform for functions of bounded mean oscillation (BMO) and functions of vanishing mean oscillation (VMO) is investigated in the paper. It is shown that for VMO functions the truncated Hilbert transform is convergent in the BMO-norm to the Hilbert transform. A new characterization of VMO function is also given in the paper.
AB - The behaviour of the truncated Hilbert transform for functions of bounded mean oscillation (BMO) and functions of vanishing mean oscillation (VMO) is investigated in the paper. It is shown that for VMO functions the truncated Hilbert transform is convergent in the BMO-norm to the Hilbert transform. A new characterization of VMO function is also given in the paper.
KW - Bounded mean oscillation
KW - Hilbert transform
KW - Vanishing mean oscillation
UR - http://www.scopus.com/inward/record.url?scp=0038928954&partnerID=8YFLogxK
U2 - 10.36045/bbms/1103065854
DO - 10.36045/bbms/1103065854
M3 - Artikel
AN - SCOPUS:0038928954
SN - 1370-1444
VL - 6
SP - 347
EP - 356
JO - Bulletin of the Belgian Mathematical Society - Simon Stevin
JF - Bulletin of the Belgian Mathematical Society - Simon Stevin
IS - 3
ER -