Besov Spaces, Multipliers and Univalent Functions

Galanopoulos, Petros; Girela, Daniel; Martín, María J.

doi:10.1007/s11785-011-0160-3

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2020

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Cited by 3 publications

(2 citation statements)

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“…However, in concrete cases it can be very difficult to determine all MO's between a given pair of NSCF's, and in particular to characterize all multipliers of a NSCF (see e.g. [13] and [19], where the multiplier algebras of some specific families of NSCF's are described).…”

Section: Introductionmentioning

confidence: 99%

Maximum Modulus Principle For Multipliers and Mean Ergodic Multiplication Operators

Bilokopytov¹

2020

Preprint

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The main goal of this note is to show that (not necessarily holomorphic) multipliers of a wide class of normed spaces of continuous functions over a connected Hausdorff topological space cannot attain their multiplier norms, unless they are constants. As an application, a contractive multiplication operator is either a multiplication with a constant, or is completely non-unitary. Additionally, we explore possibilities for a multiplication operator to be (weakly) compact and (uniformly) mean ergodic.

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Section: Introductionmentioning

confidence: 99%

Maximum Modulus Principle For Multipliers and Mean Ergodic Multiplication Operators

Bilokopytov¹

2020

Preprint

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“…Bloch and Besov spaces and their properties specially from an operator and geometric view were studied extensively in previous years in [5,18,19] and more recently in [11,12].…”

Section: Introductionmentioning

confidence: 99%

Mean Ergodicity of Multiplication Operators on the Bloch and Besov Spaces

Falahat¹,

Kamali²

2020

Preprint

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In this paper, the power boundedness and mean ergodicity of multiplication operators are investigated on the Bloch space B, the little Bloch space B 0 and the Besov Space B p . Let U be the unit disk on the complex plane C and ψ be a function on the space of holomorphic functions H(U), our goal is to find out when the multiplication operator M ψ is power bounded, mean ergodic and uniformly mean ergodic on B, B 0 and B p .

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Multipliers and integration operators between conformally invariant spaces

Girela

Merchán

2020

RACSAM

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Besov Spaces, Multipliers and Univalent Functions

Cited by 3 publications

References 46 publications

Maximum Modulus Principle For Multipliers and Mean Ergodic Multiplication Operators

Maximum Modulus Principle For Multipliers and Mean Ergodic Multiplication Operators

Mean Ergodicity of Multiplication Operators on the Bloch and Besov Spaces

Multipliers and integration operators between conformally invariant spaces

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