Weighted estimates for bilinear fractional integral operators: a necessary and sufficient condition for power weights

• Autores: Yasuo Komori-Furuya
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 71, Fasc. 1, 2020, págs. 25-37
• Idioma: inglés
• DOI: 10.1007/s13348-019-00246-5
• Texto completo no disponible (Saber más ...)
• Resumen

  • We consider weighted estimates for two bilinear fractional integral operators I_{2,\alpha } and BI_{\alpha }. Moen (Collect Math 60:213–238, 2009) obtained a necessary and sufficient condition for I_{2,\alpha }. However we know only some sufficient conditions for BI_{\alpha } which is a variant of the bilinear Hilbert transform. Restricted to power weights we obtain a necessary and sufficient condition for BI_{\alpha }. We also prove a bilinear Stein–Weiss inequality.

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