A transplantation theorem for Jacobi series in weighted Hardy spaces

DOI10.1016/S0001-8708(03)00143-9zbMath1044.33006MaRDI QIDQ1826879

Akihiko Miyachi

Publication date: 6 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular integral operatorsweighted Hardy spaceJacobi seriestransplantation theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (5)

Jacobi transplantation revisited ⋮ Hardy spaces for Dunkl-Gegenbauer expansions ⋮ Transplantation theorems -- a survey ⋮ Transplantation theorem for Jacobi series in weighted Hardy spaces. II ⋮ A transplantation theorem for the Hankel transform on the Hardy space

Cites Work

• \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems
• A transplantation theorem for Jacobi series
• Transplantation theorems and multiplier theorems for Jacobi series
• Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in 𝐑^{𝐍}
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