An improved Hardy’s inequality associated with the Laguerre Fourier transform

• Autores: Miloud Assal, Rahmouni Atef
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 64, Fasc. 2, 2013, págs. 283-291
• Idioma: inglés
• DOI: 10.1007/s13348-012-0069-9
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• Resumen

  • For the Hardy space Hp(K), 0?p?1 and K being the Laguerre hypergroup, we shall establish a Hardy’s type inequality associated with Laguerre Fourier transform for the strip Q2(2−p)?σ?Q2+p2(N+1), where N=[Q(1p−1)] is the greatest integer not exceeding Q(1p−1) and Q is the homogenous dimension of K.