On the fractional differentiation of a function of several variables
HTML articles powered by AMS MathViewer
- by G. V. Welland PDF
- Trans. Amer. Math. Soc. 132 (1968), 487-500 Request permission
References
- A.-P. Calderón and A. Zygmund, Local properties of solutions of elliptic partial differential equations, Studia Math. 20 (1961), 171–225. MR 136849, DOI 10.4064/sm-20-2-181-225
- G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, at the University Press, 1952. 2d ed. MR 0046395
- E. M. Stein, Singular integrals, harmonic functions, and differentiability properties of functions of several variables, Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966) Amer. Math. Soc., Providence, R.I., 1967, pp. 316–335. MR 0482394
- E. M. Stein and A. Zygmund, On the differentiability of functions, Studia Math. 23 (1963/64), 247–283. MR 158955, DOI 10.4064/sm-23-3-247-283
- E. M. Stein and A. Zygmund, On the fractional differentiability of functions, Proc. London Math. Soc. (3) 14a (1965), 249–264. MR 177076, DOI 10.1112/plms/s3-14A.1.249 A. Zygmund, Trigonometric series, 2nd ed., Chelsea, New York, 1959.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 132 (1968), 487-500
- MSC: Primary 44.50; Secondary 26.00
- DOI: https://doi.org/10.1090/S0002-9947-1968-0227704-4
- MathSciNet review: 0227704