OPERATORS IN L(L2a(D)) AND THE
ASSOCIATED SYMBOLS *
Namita Das [1]
Dedicated to Dr. Dan Tiba on the
occasion of his 70th anniversary
Abstract. Let D = {z
G C : |z| < 1} and L^^a (D)) be the space of all bounded linear operators from the
Bergman space L2a (D) into itself. In this paper we shall
associate symbols to bounded linear operators in L(L2a
(D)) and analyse if a symbol calculus can be obtained.
MSC: 47B35, 32M15
Keywords: Toeplitz operators, Berezin transform, reproducing kernel, bounded
harmonic functions, Bergman space.
DOI 10.56082/annalsarscimath.2024.1.97
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