On hypersingular integrals and Lebesgue spaces of differentiable functions
HTML articles powered by AMS MathViewer
- by Richard L. Wheeden
- Trans. Amer. Math. Soc. 134 (1968), 421-435
- DOI: https://doi.org/10.1090/S0002-9947-1968-0232249-1
- PDF | Request permission
References
- N. Aronszajn and K. T. Smith, Theory of Bessel potentials. I, Ann. Inst. Fourier (Grenoble) 11 (1961), 385–475 (English, with French summary). MR 143935 A. P. Calderón, Lebesgue spaces of functions and distributions, Proc. Sympos. Pure Math., Vol 4, Amer. Math. Soc., Providence, R. I., 1967, pp. 33-49.
- 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
- A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85–139. MR 52553, DOI 10.1007/BF02392130 A. Erdélyi, et al., Higher transcendental functions, Vol. 1, McGraw-Hill, New York, 1953. —, Vol. 2, McGraw-Hill, New York, 1953.
- E. M. Stein, The characterization of functions arising as potentials, Bull. Amer. Math. Soc. 67 (1961), 102–104. MR 123729, DOI 10.1090/S0002-9904-1961-10517-X
- Mitchell H. Taibleson, On the theory of Lipschitz spaces of distributions on Euclidean $n$-space. I. Principal properties, J. Math. Mech. 13 (1964), 407–479. MR 0163159
- Mitchell H. Taibleson, On the theory of Lipschitz spaces of distributions on Euclidean $n$-space. II. Translation invariant operators, duality, and interpolation, J. Math. Mech. 14 (1965), 821–839. MR 0180857
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
- Richard L. Wheeden, Hypersingular integrals and summability of Fourier integrals and series, Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966) Amer. Math. Soc., Providence, R.I., 1967, pp. 336–369. MR 0242029
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 134 (1968), 421-435
- MSC: Primary 47.70; Secondary 44.00
- DOI: https://doi.org/10.1090/S0002-9947-1968-0232249-1
- MathSciNet review: 0232249