<i>BMO</i>and Hankel operators on Bergman spaces

Kehe Zhu

Type: Article

Publication Date: 1992-10-01

Citations: 45

DOI: https://doi.org/10.2140/pjm.1992.155.377

Abstract

Let BMOQ be the space of functions on the open unit ball in C" with bounded mean oscillation in the Bergman metric defined using the volume LP integral (see Introduction for precise definition).This paper studies the structure of BM(f d .In particular, we show how BMOPQ depends on p .We also characterize BMO% in terms of certain Hankel operators acting on weighted Bergman LP spaces.A parallel study is made on the companion space VMOP d .

Locations

Pacific Journal of Mathematics - View - PDF

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Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	Compact Hankel operators on the Bergman space	1990	Karel Stroethoff
+	Bloch Functions in Several Complex Variables, I	1980	Richard M. Timoney
+	Function Theory in the Unit Ball of ℂn	2012	Walter Rudin
+ PDF Chat	Projections, the weighted Bergman spaces, and the Bloch space	1990	Boo Rim Choe
+	On functions of bounded mean oscillation	1961	Franklin John Louis Nirenberg
+ PDF Chat	Bounded Analytic Functions.	1982	Peter W. Jones John B. Garnett
+	BMO in the Bergman metric on bounded symmetric domains	1990	David Békollè C. A. Berger L. A. Coburn Kehe Zhu
+	Operator Theory in Function Spaces	1991	Adhemar Bultheel
+	Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus	1988	C. A. Berger L. A. Coburn Kehe Zhu
+	Mean value theorems for harmonic and holomorphic functions on bounded symmetric domains.	1977	M. Stoll