Randol Maximal Functions and the Integrability of the Fourier Transform of Measures

Author:

Akramova D. I.,Ikromov I. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference22 articles.

1. V. P. Palamodov, “Generalized functions and harmonic analysis,” in Commutative harmonic analysis – 3, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr. (VINITI, Moscow, 1991), Vol. 72, pp. 5–134.

2. V. V. Lebedev, “On the Fourier transform of the characteristic functions of domains with $$C^1$$ boundary,” Funct. Anal. Appl. 47 (1), 27–37 (2013).

3. E. M. Stein, Harmonic Analysis: Real-Valued Methods, Orthogonality and Oscillatory Integrals (Princeton Univ. Press, Princeton, NJ, 1993).

4. G. I. Arkhipov, A. A. Karatsuba, and V. N. Chubarikov, “Trigonometric integrals,” Math. USSR-Izv. 15 (2), 211–239 (1980).

5. I. M. Vinogradov, The Method of Trigonometric Sums in the Theory of Numbers (Nauka, Moscow, 1971) [in Russian].

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