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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Measures as convolution operators on Hardy and Lipschitz spaces


Author: Misha Zafran
Journal: Bull. Amer. Math. Soc. 81 (1975), 503-505
MSC (1970): Primary 43A32, 47B99; Secondary 42A18
MathSciNet review: 0372533
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References [Enhancements On Off] (What's this?)

  • 1. Lars Hörmander, Estimates for translation invariant operators in 𝐿^{𝑝}\ spaces, Acta Math. 104 (1960), 93–140. MR 0121655 (22 #12389)
  • 2. Jean-Pierre Kahane and Raphaël Salem, Ensembles parfaits et séries trigonométriques, Actualités Sci. Indust., No. 1301, Hermann, Paris, 1963 (French). MR 0160065 (28 #3279)
  • 3. Yves Meyer, Algebraic numbers and harmonic analysis, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1972. North-Holland Mathematical Library, Vol. 2. MR 0485769 (58 #5579)
  • 4. Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley and Sons), New York-London, 1962. MR 0152834 (27 #2808)
  • 5. 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 (29 #462)
  • 6. M. Zafran, Measures as convolution operators on H (submitted).

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1975-13798-0
PII: S 0002-9904(1975)13798-0