### Abstract

Original language | American English |
---|---|

Pages (from-to) | 151-162 |

Number of pages | 134 |

Journal | Communications in Mathematical Analysis |

State | Published - 1 Jan 2014 |

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*Communications in Mathematical Analysis*, pp. 151-162.

**C∗-algebra of angular Toeplitz operators on Bergman spaces over the upper half-plane.** / Esmeral, Kevin; Maximenko, Egor A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - C∗-algebra of angular Toeplitz operators on Bergman spaces over the upper half-plane

AU - Esmeral, Kevin

AU - Maximenko, Egor A.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We consider the C∗-algebra generated by Toeplitz operators acting on the Bergman space over the upper half-plane whose symbols depend only on the argument of the variable. This algebra is known to be commutative, and it is isometrically isomorphic to a certain algebra of bounded complex-valued functions on the real numbers. In the paper we prove that the latter algebra consists of all bounded functions f that are very slowly oscillating on the real line in the sense that the composition of f with sinh is uniformly continuous with respect to the usual metric.

AB - We consider the C∗-algebra generated by Toeplitz operators acting on the Bergman space over the upper half-plane whose symbols depend only on the argument of the variable. This algebra is known to be commutative, and it is isometrically isomorphic to a certain algebra of bounded complex-valued functions on the real numbers. In the paper we prove that the latter algebra consists of all bounded functions f that are very slowly oscillating on the real line in the sense that the composition of f with sinh is uniformly continuous with respect to the usual metric.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84919638450&origin=inward

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M3 - Article

SP - 151

EP - 162

JO - Communications in Mathematical Analysis

JF - Communications in Mathematical Analysis

SN - 1938-9787

ER -