Singular integral operators, John–Nirenberg inequalities and Triebel–Lizorkin type spaces on weighted Lebesgue spaces with variable exponents

• Kwok-Pun Ho ^[1]
  1. [1] The Hong Kong Institute of Education, China
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 57, Nº. 1, 2016, págs. 85-101
• Idioma: inglés
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• Resumen

  • We establish the boundedness of singular integral operators, the Fefferman–Stein inequality and the John–Nirenberg inequalities on weighted Lebesgue spaces with variable exponents by using the extrapolation theorem. Moreover, as a consequence of the extrapolation theorem, we have the Fefferman–Stein vector-valued inequalities on weighted Lebesgue spaces, and hence we use it to study the weighted Triebel–Lizorkin spaces with variable exponent.