Function spaces induced by two parabolic Bloch spaces

DOI10.32917/H2020031zbMath1482.35250OpenAlexW3217657549MaRDI QIDQ2073414

Yôsuke Hishikawa, Katsunori Shimomura, Masahiro Yamada, Masaharu Nishio

Publication date: 2 February 2022

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/hiroshima-mathematical-journal/volume-51/issue-3/Function-spaces-induced-by-two-parabolic-Bloch-spaces/10.32917/h2020031.full

zbMATH Keywords

Bloch spacereproducing kernelparabolic operator of fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Heat equation (35K05) Fractional partial differential equations (35R11) Bloch spaces (30H30)

Cites Work

• Unnamed Item
• Function spaces of parabolic Bloch type
• Fractional calculus on parabolic Bergman spaces
• Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
• Reproducing kernels for iterated parabolic operators on the upper half space with application to polyharmonic Bergman spaces
• \(L^{(\alpha)}\)-conjugates on parabolic Bergman spaces
• Toeplitz operators and Carleson measures on parabolic Bergman spaces
• Harmonic Bergman Functions on Half-Spaces
• A system of conjugate functions on parabolic Bloch spaces
• Biharmonic Bergman space and its reproducing kernel

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