Weighted Norm Inequalities for General Operators on Monotone Functions
Copyright policy )Weighted Norm Inequalities for General Operators on Monotone Functions
In this paper we characterize the weights w , v w,v for which ‖ S ϕ f ‖ p , w ≤ C ‖ f ‖ q , v {\left \| {{S_\phi }f} \right \|_{p,w}} \leq C{\left \| f \right \|_{q,v}} , for f f nonincreasing, where S ϕ f = ∫ 0 ∞ ϕ ( x , y ) f ( y ) d y {S_\phi }f = \smallint _0^\infty {\phi (x,y)f(y)dy} .
Integral operators, monotone functions, Maximal functions, Littlewood-Paley theory, Volterra integral equations, Volterra type operators, pairs of weights, Linear operators on function spaces (general), non- increasing rearrangement, Inequalities involving derivatives and differential and integral operators, integral operator, interpolation theory
Integral operators, monotone functions, Maximal functions, Littlewood-Paley theory, Volterra integral equations, Volterra type operators, pairs of weights, Linear operators on function spaces (general), non- increasing rearrangement, Inequalities involving derivatives and differential and integral operators, integral operator, interpolation theory
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