On a conjecture of F. Móricz

Brown, Gavin; Wang, K. Y.

doi:10.1090/s0002-9939-98-04375-5

Proc. Amer. Math. Soc.

1998

DOI: 10.1090/s0002-9939-98-04375-5

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On a conjecture of F. Móricz

Gavin Brown

K. Y. Wang

Abstract: Abstract. F. Móricz has investigated the integrability of double lacunary sine series. His result, valid for special lacunary sequences, does not extend in the form originally conjectured, but we establish a suitably modified result.

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2014

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On the scientific work of Kunyang Wang

Dai

2014

Int. J. Wavelets Multiresolut Inf. Process.

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This paper surveys some of the scientific work on positive polynomial sums, Fourier analysis and spherical approximation on the sphere that Kunyang Wang did in the past 20 years. Int. J. Wavelets Multiresolut Inf. Process. 2014.12. Downloaded from www.worldscientific.com by FLINDERS UNIVERSITY LIBRARY on 02/05/15. For personal use only. 1461003-2 Int. J. Wavelets Multiresolut Inf. Process. 2014.12. Downloaded from www.worldscientific.com by FLINDERS UNIVERSITY LIBRARY on 02/05/15. For personal use only. On the scientific work of Kunyang Wang Problem 1 is closely related to a second problem raised by Szegö in Ref. 36: Problem 2. Characterize all values of α such that z 0 t −α J α (t)dt > 0 (1.3) holds for all z > 0. Since lim n→∞ C ν n cos z n C ν n (1)uniformly in every fixed disk |z| ≤ R, it follows that for all z > 0Thus, the result of Brown, Koumandos and Wang 17 implies thatProblem 2 was solved by Szegö, 36 who showed that z 0 t −α J α (t)dt > 0 for all z > 0 if α > α and this inequality fails for some z > 0 for each α < α .

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On the scientific work of Kunyang Wang

Dai

2014

Int. J. Wavelets Multiresolut Inf. Process.

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On a conjecture of F. Móricz

Abstract: Abstract. F. Móricz has investigated the integrability of double lacunary sine series. His result, valid for special lacunary sequences, does not extend in the form originally conjectured, but we establish a suitably modified result.

Cited by 1 publication

References 5 publications

On the scientific work of Kunyang Wang

On the scientific work of Kunyang Wang

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