On the Bohr inequality for the Cesáro operator
I. R. Kayumov, Diana M. Khammatova, Saminathan Ponnusamy
Abstract
We investigate an analog of Bohr’s results for the Cesáro operator acting on the space of holomorphic functions defined on the unit disk. The asymptotical behaviour of the corresponding Bohr sum is also estimated.
Topics & Concepts
Bohr modelMathematicsUnit diskHolomorphic functionOperator (biology)Multiplication operatorPure mathematicsUnit (ring theory)Mathematical analysisAlgebra over a fieldQuantum mechanicsHilbert spaceMathematics educationPhysicsRepressorChemistryGeneTranscription factorBiochemistryHolomorphic and Operator TheoryAnalytic and geometric function theoryAdvanced Banach Space Theory