The finite Hilbert transform and weighted Sobolev spaces
David S. Elliott, Susumu Okada · Mathematische Nachrichten · 2004
Abstract The boundedness of the finite Hilbert transform operator on certain weighted Lp spaces is well known. We extend this result to give the boundedness of that operator on certain weighted Sobolev spaces. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)