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. The generalized Hartogs triangles H n { k i } ,γ are nonsmooth Reinhardt domains defined by where ( (cid:101) z 1 , · · · , (cid:102) z… Click to show full abstract
. The generalized Hartogs triangles H n { k i } ,γ are nonsmooth Reinhardt domains defined by where ( (cid:101) z 1 , · · · , (cid:102) z m ) = ( z 1 , · · · , z n − 1 ) with (cid:101) z i ∈ C k i , i = 1 , · · · , m and k 1 + · · · + k m = n − 1. In this paper, we find some “good” holomorphic automorphisms of H n { k i } ,γ and use them to obtain necessary conditions for the Toeplitz and Hankel products to be bounded on the Bergman space of H n { k i } ,γ .
Keywords:
hartogs triangles;
products toeplitz;
toeplitz hankel;
hankel operators;
generalized hartogs
Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2023
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Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2023
Link to full text (if available)
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recommendations!