TY - JOUR
ID - 85693
T1 - Invertibility of Toeplitz operators with polyanalytic symbols
JO - Advances in Operator Theory
JA - AOT
LA - en
SN -
A1 - Tikaradze, Akaki
Y1 - 2019
PY - 2019/10/01
VL - 4
IS - 4
SP - 793
EP - 801
KW - Toeplitz operator
KW - the Bergman space
KW - harmonic function
DO - 10.15352/aot.1812-1451
N2 - For a class of continuous functions including complex polynomials in $z,bar{z},$ we show that the corresponding Toeplitz operator on the Bergman space of the unit disc can be expressed as a quotient of certain differential operators with holomorphic coefficients. This enables us to obtain several nontrivial operator theoretic results about such Toeplitz operators, including a new criterion for invertibility of a Toeplitz operator for a class of harmonic symbols.
UR - http://www.aot-math.org/article_85693.html
L1 - http://www.aot-math.org/pdf_85693_62a43f8d788bd3e616b8b2a17c894450.html
ER -