Balinsky, Alexander; Evans, W. Desmond; Umeda, Tomio The Dirac-Hardy and Dirac-Sobolev inequalities in \(L^1\). (English) Zbl 1227.35248 Publ. Res. Inst. Math. Sci. 47, No. 3, 791-801 (2011). Reviewer: Mohan Lal Mehra (Bonn) MSC: 35R45 35Q40 46E35 46E40 81Q10 81Q05 PDFBibTeX XMLCite \textit{A. Balinsky} et al., Publ. Res. Inst. Math. Sci. 47, No. 3, 791--801 (2011; Zbl 1227.35248) Full Text: DOI arXiv
Umeda, T. The action of \(\sqrt{-\Delta}\) on weighted Sobolev spaces. (English) Zbl 0988.35176 Lett. Math. Phys. 54, No. 4, 301-313 (2000). Reviewer: Niels Jacob (Swansea) MSC: 35S05 35J10 46E35 35E99 PDFBibTeX XMLCite \textit{T. Umeda}, Lett. Math. Phys. 54, No. 4, 301--313 (2000; Zbl 0988.35176) Full Text: DOI
Pladdy, Chris; Saitō, Yoshimi; Umeda, Tomio Asymptotic behavior of the resolvent of the Dirac operator. (English) Zbl 0879.47030 Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 45-54 (1994). Reviewer: J.Hernandez (Madrid) MSC: 47F05 47G30 81Q10 81Q05 46E35 PDFBibTeX XMLCite \textit{C. Pladdy} et al., in: Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. 45--54 (1994; Zbl 0879.47030)
Nagase, Michihiro; Umeda, Tomio Weyl quantized Hamiltonians of relativistic spinless particles in magnetic fields. (English) Zbl 0715.46051 J. Funct. Anal. 92, No. 1, 136-154 (1990). Reviewer: A.Wehrl MSC: 46N50 81S99 PDFBibTeX XMLCite \textit{M. Nagase} and \textit{T. Umeda}, J. Funct. Anal. 92, No. 1, 136--154 (1990; Zbl 0715.46051) Full Text: DOI