The Bloch space and the dual space of a Luecking-type subspace of. Issue 10 (3rd October 2018)

• Record Type: Journal Article
• Authors: Bao, Guanlong; Ye, Fangqin
• Is Part Of: Complex variables and elliptic equations. Volume 63:Issue 10(2018)
• Page Start: 1438
• Page End: 1443
• Publication Date: 2018-10-03
• Subjects: Bloch space -- dual space of Luecking-type subspace of A1; 30H30 -- 46E15; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2017.1377700
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract: Let X be the dual space of a Luecking-type subspace of the Bergman spaceA 1 . It is known that the Bloch spaceB is a subset of X . In 1990, Ghatage and Sun asked whetherB is dense in X . They also asked whether the little version of X is a subset ofB . In this note, based on results and methods of Girela, Peláez, Pérez-González and Rättyä in 2008, we answer the two questions in the negative.