Reproducing kernels for iterated parabolic operators on the upper half space with application to polyharmonic Bergman spaces

DOI10.1007/S11785-017-0673-5zbMath1379.31014OpenAlexW2606154223MaRDI QIDQ1683728

Masaharu Nishio, Katsunori Shimomura

Publication date: 1 December 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0673-5

zbMATH Keywords

reproducing kernelsparabolic operators of fractional orderpolyharmonic Bergman spaces

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Higher-order parabolic equations (35K25)

Related Items (2)

Reproducing kernels: harmonic analysis and some of their applications ⋮ Function spaces induced by two parabolic Bloch spaces

Cites Work

• \(\alpha\)-parabolic Bergman spaces
• Note on poly-supertemperatures on a strip domain
• Toeplitz operators and Carleson measures on parabolic Bergman spaces
• Poincaré type conditions of the regularity for the parabolic operator of order α
• A Mean Value Property of Poly-Temperatures on a Strip Domain

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