Sum of some product‐type operators from Hardy spaces to weighted‐type spaces on the unit ball
Stevo Stević, Cheng-shi Huang, Zhijie Jiang
Abstract
We investigate the boundedness and compactness of the operator , where is the multiplication operator with symbol , which are holomorphic functions on the open unit ball in the composition operator with symbol which is a holomorphic self‐map of , and the th iterated radial derivative operator, from the Hardy space to the weighted‐type space on .
Topics & Concepts
MathematicsHardy spaceMultiplication operatorHolomorphic functionIterated functionUnit sphereType (biology)Finite-rank operatorOperator (biology)Compact spacePure mathematicsComposition operatorCompact operatorBall (mathematics)Mathematical analysisBanach spaceHilbert spaceBiologyProgramming languageExtension (predicate logic)RepressorGeneComputer scienceTranscription factorChemistryBiochemistryEcologyHolomorphic and Operator TheoryAlgebraic and Geometric AnalysisAdvanced Harmonic Analysis Research