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The Fejer-Riesz Inequality for the Besov Spaces 被引量:1

The Fejer-Riesz Inequality for the Besov Spaces
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摘要 A Fejer Riesz inequality for the weighted Besov spaces Bp,q is given. Some characteriza- tions of functions in Bp.q in terms of their Taylor coefficients are obtained. A Fejer Riesz inequality for the weighted Besov spaces Bp,q is given. Some characteriza- tions of functions in Bp.q in terms of their Taylor coefficients are obtained.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第10期1995-2004,共10页 数学学报(英文版)
关键词 Fejer-Riesz inequality Besov spaces Taylor coefficients Fejer-Riesz inequality, Besov spaces, Taylor coefficients
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参考文献10

  • 1Fejer, L., Riesz, F.: Uber einige funktionentheoretische Ungleichungen. Math. Zeitschrift, 11, 305-314 (1921).
  • 2Hardy, G., Littlewood, J., Polya, G.: Inequalities, Cambridge Univ. Press, London-New York, 1934.
  • 3Huber, A.: On all inequality of Fejer and Riesz. Ann. of Math., 63, 572-587 (1956).
  • 4Shield, A.: An analogue of the Fejer Riesz theorem for the Dirichlet space. In: Proceedings of Conference on Harmonic Analysis in honour of Antoni Zygmund (W. Beckner et el. eds.), II, 1983, 810-820.
  • 5Soykan, Y.: An inequality of Fejer Riesz type. Cankaya Universitesi Fen-Edebiyat Fakiitesi, Journal of Arts and Sciences, 5, 51-60 (2006).
  • 6Holland, F., Welsh, D.: Growth estimates for functions in the Besov spaces Ap. Pro. Roy. Irish Acad., 88A, 1-18 (1988).
  • 7Mateljevie, M., Pavlovic, M.: LP-behaviour of power series with positive coefficients and Hardy spaces. Proc. Amer. Math. Soc., 87, 309-316 (1983).
  • 8Duren, P.: Theory of Hp Spaces, Academic Press, New York-London, 1970.
  • 9Zhao, R.: On a general family of function spaces. Ann. Acad. Sci. Fenn. Math. Diss, 105, 1-56 (1996).
  • 10Zygmund, A.: Trigonometric Series, Vol. I, Cambridge Univ. Press, New York, 1968.

同被引文献1

  • 1LI Hao 1 , WULAN Hasi 1, & ZHOU JiZhen 1,2 1 Department of Mathematics, Shantou University, Shantou 515063, China,2 School of Sciences, Anhui University of Science and Technology, Huainan 232001, China.Lipschitz spaces and Q_K type spaces[J].Science China Mathematics,2010,53(3):771-778. 被引量:2

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