Unifying multiplier theorems of Hörmander, Marcinkiewicz, and Michlin type
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- by William C. Connett and Alan L. Schwartz PDF
- Bull. Amer. Math. Soc. 81 (1975), 570-572
References
- Aline Bonami and Jean-Louis Clerc, Sommes de Cesàro et multiplicateurs des développements en harmoniques sphériques, Trans. Amer. Math. Soc. 183 (1973), 223–263 (French). MR 338697, DOI 10.1090/S0002-9947-1973-0338697-5
- A.-P. Calderón, Intermediate spaces and interpolation, the complex method, Studia Math. 24 (1964), 113–190. MR 167830, DOI 10.4064/sm-24-2-113-190
- William C. Connett and Alan L. Schwartz, A multiplier theorem for ultraspherical series, Studia Math. 51 (1974), 51–70. MR 358209, DOI 10.4064/sm-51-1-51-70
- Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
- Robert S. Strichartz, Multipliers for spherical harmonic expansions, Trans. Amer. Math. Soc. 167 (1972), 115–124. MR 306823, DOI 10.1090/S0002-9947-1972-0306823-9
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 570-572
- MSC (1970): Primary 42A18, 33A45; Secondary 42A56
- DOI: https://doi.org/10.1090/S0002-9904-1975-13741-4
- MathSciNet review: 0387936