In this paper embeddings between weighted Copson function spaces Cop p 1 ,q 1 (u 1 , v 1 ) and weighted Cesàro function spaces Ces p 2 ,q 2 (u 2 , v 2 ) are characterized. In particular, two-sided estimates of the optimal constant c in the inequality ∞ 0 t 0 2010 Mathematics Subject Classification. Primary 46E30; Secondary 26D10.
In this paper the solution of the pointwise multiplier problem between weighted Copson function spaces Cop p 1 ,q 1 (u 1 , v 1 ) and weighted Cesàro function spaces Ces p 2 ,q 2 (u 2 , v 2 ) is presented, where p 1 , p 2 , q 1 , q 2 ∈ (0, ∞), p 2 ≤ q 2 and u 1 , u 2 , v 1 , v 2 are weights on (0, ∞).2010 Mathematics Subject Classification. Primary 26D10; Secondary 26D15.
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