Hilbert-Schmidt Hankel Operators with Anti-holomorphic Symbols on\n Complex Ellipsoids

2013/05/30 by Mehmet Çeli̇k, Çelik, Mehmet, Yunus E. Zeytuncu +2
Mathematics · #32W05 #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1305.7150

openalex publication_date 2013/05/30 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

On a complex ellipsoid in \ℂⁿ, we show that there is no nonzero\nHankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt.\n

Related

• Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains
• Hilbert-Schmidt Hankel operators over semi-Reinhardt domains
• Schmidt subspaces of Hankel operators
• Hankel operators on domains with bounded intrinsic geometry
• Toeplitz operators with pluriharmonic symbol