Generalized integration operators on Hardy spaces
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We introduce a natural generalization of a well-studied integration operator acting on the family of Hardy spaces in the unit disc. We study the boundedness and compactness properties of the operator and finally we use these results to give simple proofs of a result of Rättyä and another result by Cohn and Verbitsky.
Integral operators, Hardy spaces, Mathematics - Complex Variables, unit disc, Hardy space, Hardy spaces, Generalized Volterra operator, Bounded mean oscillation, Bloch space, boundedness, Generalized Integration Operators, Volterra Operators, Hardy Spaces, Functional Analysis (math.FA), Mathematics - Functional Analysis, BMO-spaces, integration operator, FOS: Mathematics, compactness, Complex Variables (math.CV)
Integral operators, Hardy spaces, Mathematics - Complex Variables, unit disc, Hardy space, Hardy spaces, Generalized Volterra operator, Bounded mean oscillation, Bloch space, boundedness, Generalized Integration Operators, Volterra Operators, Hardy Spaces, Functional Analysis (math.FA), Mathematics - Functional Analysis, BMO-spaces, integration operator, FOS: Mathematics, compactness, Complex Variables (math.CV)
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