Equivalence of norms in one sided H(p) spaces

• Autores: Liliana de Rosa, Carlos Segovia Fernández
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 53, Fasc. 1, 2002, págs. 1-20
• Idioma: inglés
• Títulos paralelos:
  • Equivalencia de normas en espacios Hp unilaterales
• Enlaces
  • Texto completo
• Resumen

  • One-sided versions of maximal functions for suitable defined distributions are considered. Weighted norm equivalences of these maximal functions for weights in the Sawyer's Aq+ classes are obtained.

• Referencias bibliográficas
  • A.P. Calderón and A. Torchinsky, Parabolic maximal functions associated with a distribution, Advances in Math. 16 (1975), 1–64.
  • J. García-Cuerva and J.L. Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Mathematics Studies, 116 Amsterdam,...
  • F.J. Martín-Reyes, New proofs of weighted inequalities for the one-sided Hardy-Littlewood maximal functions, Proc. Amer. Math. Soc. 117 (1993),...
  • L. de Rosa and C. Segovia, Weighted $H^p$ spaces for one sided maximal functions, Contemp. Math. 189 (1995), 161–183.
  • L. de Rosa and C. Segovia, One-sided Littlewood-Paley theory, J. Fourier Anal. Appl. 3 (1997), 933–957.
  • E. Sawyer, Weighted inequalities for the one-sided Hardy-Littlewood maximal functions, Trans. Amer. Math. Soc. 297 (1986), 53–61.
  • J.-O. Strömberg and A. Torchinsky, Weighted Hardy spaces, Lecture Notes in Math. 1381, Springer-Verlag, 1989.