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On a \(k\)-fold beta integral formula

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Publication:2658979
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DOI10.1007/s12220-019-00241-zzbMath1460.42022OpenAlexW2962934877MaRDI QIDQ2658979

Zuoshunhua Shi, Xudong Nie, Di Wu, Yan, Dunyan

Publication date: 25 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-019-00241-z


zbMATH Keywords

gamma functionmultilinear fractional integralbeta integral formula


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Gamma, beta and polygamma functions (33B15)


Related Items (1)

On multilinear Beckner systems



Cites Work

  • Sharp constants in the doubly weighted Hardy-Littlewood-Sobolev inequality
  • On the multilinear fractional integral operators with correlation kernels
  • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
  • A Selberg integral formula and applications
  • On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case
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