On fractional integrals of pure imaginary order in $L_{p}$
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- by G. K. Kalisch
- Proc. Amer. Math. Soc. 18 (1967), 136-139
- DOI: https://doi.org/10.1090/S0002-9939-1967-0216310-8
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References
- Philip Franklin, A Treatise on Advanced Calculus, John Wiley & Sons, Inc., New York, 1940. MR 0002571
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373 G. K. Kalisch, Similarity invariants of a certain class of operators, (to appear).
- H. Kober, On a theorem of Schur and on fractional integrals on purely imaginary order, Trans. Amer. Math. Soc. 50 (1941), 160–174. MR 4654, DOI 10.1090/S0002-9947-1941-0004654-0 J. Macinkiewicz, Sur les multiplicateurs des séries de Fourier, Studia Math. 8 (1939), 78-91. S. G. Mihlin, Integraly Fur’e i kratnye singuljarnye integraly, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astronom. 1957, no. 7, 143-155. L. A. Sahnovič, Privedenie odnogo nesamosoprjažzennogo operatora s nepreryvnym spektrom k diagonal’nomu vidu, Uspehi Mat. Nauk 13 (1958), no. 4 (42), 193-196.
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 136-139
- MSC: Primary 47.25; Secondary 44.00
- DOI: https://doi.org/10.1090/S0002-9939-1967-0216310-8
- MathSciNet review: 0216310