A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces

Acta Mathematica Vietnamica volume 44, pages701–710(2019)Cite this article

Abstract

In this paper, we give a new inequality for weighted Lebesgue spaces called Bohr-Nikol’skii inequality, which combines the inequality of Bohr-Favard and the Nikol’skii idea of inequality for functions in different metrics.

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Acknowledgements

The authors would like to thank the referees for their useful remarks and comments.

Funding

This work was supported by Vietnamese Academy of Science and Technology under grant number NVCC01.05/18-18.

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Affiliations

  1. Institute of Mathematics, Vietnamese Academy of Science and Technology, 18 Hoang Quoc Viet Street, Cau Giay, Hanoi, Vietnam

    Ha Huy Bang

  2. Department of Mathematics, College of Science, Vietnam National University, 334 Nguyen Trai Street, Thanh Xuan, Hanoi, Vietnam

    Vu Nhat Huy

  3. Department of Mathematics, Thang Long Institute of Mathematics and Applied Sciences Nghiem Xuan Yem, Hoang Mai, Hanoi, Vietnam

    Vu Nhat Huy

Authors
  1. Ha Huy Bang
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  2. Vu Nhat Huy
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Corresponding author

Correspondence to Ha Huy Bang.

Additional information

Dedicated to Professor Le Tuan Hoa on the occasion of his 60th-birthday

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Bang, H.H., Huy, V.N. A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces. Acta Math Vietnam 44, 701–710 (2019). https://doi.org/10.1007/s40306-018-00322-1

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Keywords

  • L p- spaces
  • Bohr-Favard inequality
  • Nikol’skii inequality

Mathematics Subject Classification (2010)

  • 26D10