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The Fejér-Riesz inequality for the Besov spaces

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Abstract

A Fejér-Riesz inequality for the weighted Besov spaces B p,q is given. Some characterizations of functions in B p,q in terms of their Taylor coefficients are obtained.

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Correspondence to Hasi Wulan.

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Supported by NSF of China (Grant No. 11071153), NSF of Guangdong Province of China (Grant No. 06105648) and Research Foundation for Doctor Programme (Grant No. 20060560002)

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Wulan, H., Ye, F.Q. The Fejér-Riesz inequality for the Besov spaces. Acta. Math. Sin.-English Ser. 27, 1995–2004 (2011). https://doi.org/10.1007/s10114-011-9286-5

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  • DOI: https://doi.org/10.1007/s10114-011-9286-5

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