Singular integral equations in $L_{p}$
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- by Harold Widom PDF
- Trans. Amer. Math. Soc. 97 (1960), 131-160 Request permission
References
- T. Carleman, LâIntĂ©grale de Fourier et Questions que sây Rattachent, Publications Scientifiques de lâInstitut Mittag-Leffler, Uppsala, 1944 (French). Vol. 1. MR 0014165 G. H. Hardy, J. E. Littlewood, and G. PĂłlya, Inequalities, Cambridge, Cambridge University Press, 1934. E. Hille and J. D. Tamarkin, On the absolute integrability of Fourier transforms, Fund. Math. vol. 25 (1935) pp. 329-352.
- I. I. Hirschman, The decomposition of Walsh and Fourier series, Mem. Amer. Math. Soc. 15 (1955), 65. MR 72269
- B. V. Hvedelidze, Some properties of improper integrals in the sense of the Cauchy-Lebesgue principal value, SoobĆĄÄeniya Akad. Nauk Gruzin. SSR. 8 (1947), 283â290 (Russian). MR 0049470
- H. Kober, A note on Hilbertâs operator, Bull. Amer. Math. Soc. 48 (1942), 421â427. MR 6775, DOI 10.1090/S0002-9904-1942-07688-9
- Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0054173
- N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494
- Elias M. Stein, Interpolation of linear operators, Trans. Amer. Math. Soc. 83 (1956), 482â492. MR 82586, DOI 10.1090/S0002-9947-1956-0082586-0 G. Szegö, Ăber die Randwerte analytischer Functionen, Math. Ann. vol. 84 (1921) pp. 232-244. E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, Oxford University Press, 1937. A. Zygmund, Sur les fonctions conjugĂ©es, Fund. Math. vol. 13 (1929) pp. 284-303.
- Antoni Zygmund, Trigonometrical series, Chelsea Publishing Co., New York, 1952. 2nd ed. MR 0076084
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 97 (1960), 131-160
- MSC: Primary 45.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0119064-7
- MathSciNet review: 0119064