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A non-trivial variant of Hilbert’s inequality, and an application to the norm of the Hilbert matrix on the Hardy-Littlewood spaces

  • Daskalogiannis, Vassilis [1] ; Galanopoulos, Petros [1] ; Papadimitrakis, Michael [2]
    1. [1] Aristotle University of Thessaloniki

      Aristotle University of Thessaloniki

      Dimos Thessaloniki, Grecia

    2. [2] University of Crete

      University of Crete

      Dimos Heraklion, Grecia

  • Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 69, Nº 2, 2025, págs. 415-428
  • Idioma: inglés
  • DOI: 10.5565/publmat6922508
  • Enlaces
  • Referencias bibliográficas
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    • M. D. Contreras, J. A. Pelaez, C. Pommerenke, and J. Rattya, Integral operators mapping into the space of bounded analytic functions, J. Funct....
    • E. Diamantopoulos, Hilbert matrix on Bergman spaces, Illinois J. Math. 48(3) (2004), 1067–1078. DOI: 10.1215/ijm/1258131071
    • E. Diamantopoulos and A. G. Siskakis, Composition operators and the Hilbert matrix, Studia Math. 140(2) (2000), 191–198. DOI:
    • 4064/sm-140-2-191-198
    • M. Dostanic, M. Jevti ´ c, and D. Vukoti ´ c´, Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type, J. Funct....
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    • G. H. Hardy and J. E. Littlewood, Some new properties of Fourier constants, Math. Ann. 97(1) (1927), 159–209. DOI: 10.1007/BF01447865
    • G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, 2d ed., Cambridge, at the University Press, 1952.
    • M. Lindstrom, S. Miihkinen, and N. Wikman ¨ , Norm estimates of weighted composition operators pertaining to the Hilbert matrix, Proc. Amer....
    • M. Nowak and M. Pavlovic, On the Libera operator, J. Math. Anal. Appl. 370(2) (2010), 588–599. DOI: 10.1016/j.jmaa.2010.04.057
    • M. Pavlovic´, Analytic functions with decreasing coefficients and Hardy and Bloch spaces, Proc. Edinb. Math. Soc. (2) 56(2) (2013), 623–635....
    • J. A. Pelaez, J. Rattya and F. Wu, Integral operators induced by symbols with non-negative Maclaurin coefficients mapping into H∞, J. Geom....
    • B. Yang, On new extensions of Hilbert’s inequality, Acta Math. Hungar. 104(4) (2004), 291–299. DOI: 10.1023/B:AMHU.0000036288.28531.a3
    • B. Yang, On a dual Hardy–Hilbert’s inequality and its generalization, Anal. Math. 31(2) (2005), 151–161. DOI: 10.1007/s10476-005-0010-5

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