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ICM-90 Satellite Conference Proceedings pp 106–116Cite as

A Class of Weighted Inequalities

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Abstract

Given indices p and q, 1 ≤ p, q ≤ ∞, T a quasilinear operator bounded between weighted interpolation Awi,qi to Bwi,qi-spaces, i = 0, 1, 1 ≤ q i,q i ≤ ∞, where w, w are weight functions belonging to some class of functions BK. We give conditions on pairs of functions u and v which are sufficient that Mathtype holds, where C is a constant independent of f and K (.,.;.) is the Peetre K-functional.

Research supported in part by The American University in Cairo.

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Author information

Authors and Affiliations

  1. Department of Science Mathematics Unit, The American University in Cairo, 113 Sharia Kasr El-Aini, P.O.Box 2511, Cairo, Egypt

    Salah A. A. Emara

Authors
  1. Salah A. A. Emara
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Editors and Affiliations

  1. Mathematical Institute, Tohoku University, Aobaku, Sendai, Miyagi, 980, Japan

    Satoru Igari

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© 1991 Springer-Verlag Tokyo

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Emara, S.A.A. (1991). A Class of Weighted Inequalities. In: Igari, S. (eds) ICM-90 Satellite Conference Proceedings. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68168-7_9

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  • DOI: https://doi.org/10.1007/978-4-431-68168-7_9

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-70084-5

  • Online ISBN: 978-4-431-68168-7

  • eBook Packages: Springer Book Archive

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