Two-Weight estimates in Lp(x) spaces with applications to Fourier series

• Autores: David Eric Edmunds, Vakhtang Kokilashvili, Alexander Meskhi
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 35, Nº 2, 2009, págs. 665-689
• Idioma: inglés
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• Resumen

  • In the present paper we establish sufficient conditions governing two-weighted inequalities for Hardy-Littlewood maximal functions and Calderon-Zygmund operators in variable Lebesgue spaces. Explicit, natural examples are given of pairs of weights that satisfy these conditions.The norm summability of Fourier series and a generalization of Bernstein inequality in a two-weighted setting are proved.