Abstract
We characterize boundedness and compactness of Hankel operators between Bergman spaces of variable exponent and the Lebesque spaces of variable exponents. We also give some characterizations of the symbol class which is some BMO-type spaces with variable exponent on the unit ball of \({\mathbb {C}}^{n}\).
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Communicated by H. Turgay Kaptanoglu.
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This article is part of the topical collection “Harmonic Analysis and Operator Theory” edited by H. Turgay Kaptanoglu, Andreas Seeger, Franz Luef and Serap Oztop.
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Dieudonne, A. Hankel Operators Between Bergman Spaces with Variable Exponents on the Unit Ball of \({\mathbb {C}}^{n}\). Complex Anal. Oper. Theory 16, 40 (2022). https://doi.org/10.1007/s11785-022-01223-w
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DOI: https://doi.org/10.1007/s11785-022-01223-w
Keywords
- Hankel operators
- Homogeneous spaces
- Muckenhoupt weights
- Variable exponent Bergman spaces
- Variable exponent Lebesque spaces