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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© 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
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