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- W2962851625 abstract "We determine the solid hull and solid core of weighted Banach spaces $$H_v^infty $$ of analytic functions functions f such that v|f| is bounded, both in the case of the holomorphic functions on the disc and on the whole complex plane, for a very general class of radial weights v. Precise results are presented for concrete weights on the disc that could not be treated before. It is also shown that if $$H_v^infty $$ is solid, then the monomials are an (unconditional) basis of the closure of the polynomials in $$H_v^infty $$ . As a consequence $$H_v^infty $$ does not coincide with its solid hull and core in the case of the disc. An example shows that this does not hold for weighted spaces of entire functions." @default.
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- W2962851625 date "2018-05-26" @default.
- W2962851625 modified "2023-10-02" @default.
- W2962851625 title "Solid hulls and cores of weighted $$H^infty $$ H ∞ -spaces" @default.
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- W2962851625 doi "https://doi.org/10.1007/s13163-018-0265-6" @default.
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