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- W4313448546 abstract "Abstract Inspired by Xiao’s work about the Hankel measures for the weighted Bergman spaces, in this paper, if β > 0 and the measure μ is a complex Borel measure on the unit disk D , we define the Hankel type operator K μ,β by K μ,β : ƒ →∫ D (1 − wz) −(β) ƒ(w)dμ(w) . The operator itself has been widely studied when μ is a positive Borel measure supported on the interval [0, 1). We study the boundedness of K μ,1 acting on Hardy spaces and the boundedness of K μ,α , α > 1 acting on weighted Bergman spaces. Then we mainly raise and answer some questions about the boundedness of those operators. Also, we find some special measures μ′s such that s -Hankel measure is equal to s -Carleson measure." @default.
- W4313448546 created "2023-01-06" @default.
- W4313448546 creator A5084920147 @default.
- W4313448546 date "2022-12-20" @default.
- W4313448546 modified "2023-10-18" @default.
- W4313448546 title "Hankel-type operator acting on Hardy spaces and weighted Bergman spaces" @default.
- W4313448546 doi "https://doi.org/10.21203/rs.3.rs-2385377/v1" @default.
- W4313448546 hasPublicationYear "2022" @default.
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