Publication Cover
Applicable Analysis
An International Journal
Volume 21, 1986 - Issue 1-2
18
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Fractional powers of a class of mellin multiplier transforms part i

Pages 89-127 | Received 26 Jun 1985, Published online: 02 May 2007

References

  • Balakrishnan , A.V. 1960 . Fractional powers of closed operators and semigroups generated by them . Pacific J. Math , 10 : 419 – 437 .
  • Costabel , M. , Stephan , E. and Wendland , W.L. 1981 . Technische Hochschule Darmstadt , Darmstadt .
  • Kober , H. 1940 . On fractional integrals and derivatives . Quart. J. Math , 11 : 193 – 211 .
  • Komatsu , H. 1966 . Fractional powers of operators . Pacific J. Math , 19 : 285 – 346 .
  • Lewis , J.E. and Parenti , C. 1980 . Pseudodifferential operators and Hardy kernels on L (R ) . Ann. Scuola Norm. Sup. Pisa CI. Sci , 7 ( 4 ) : 481 – 503 .
  • Love , E.R. and Young , L.C. 1938 . On fractional integration by parts . Proc. London Math. Soc , 44 ( 2 ) : 1 – 35 .
  • Mcbride , A.C. 1982 . Fractional powers of a class of ordinary diff erential operators . Proc. London Math. Soc , 45 ( 3 ) : 519 – 546 .
  • Rooney , P.G. 1972 . On the ranges of certain fractional integrals . Canad. J. Math , 24 ( 3 ) : 1198 – 1216 .
  • Rooney , P.G. 1973 . A technique for studying the boundedness and extendability of certain types of operators . Canad. J. Math , 25 ( 3 ) : 1090 – 1102 .
  • Ross , B. , ed. 1975 . Lecture Notes in Mathematics , Vol. 457 , Berlin : Springer-Verlag .
  • Stein , E.M. 1970 . Singular integrals and differentiability properties of functions , Princeton : Princeton Univ. Press .
  • Watanabe , J. 1961 . On some properties of fractional powers of linear operators . Proc. Japan Acad , 37 : 273 – 275 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.