\(L^{(\alpha)}\)-conjugates on parabolic Bergman spaces

DOI10.1007/S11118-013-9358-5zbMath1293.35129OpenAlexW2086445780MaRDI QIDQ2248983

Masaharu Nishio, Yôsuke Hishikawa, Masahiro Yamada

Publication date: 27 June 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-013-9358-5

zbMATH Keywords

conjugate functionharmonic conjugatesparabolic operator of fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Heat equation (35K05) Inequalities for sums, series and integrals (26D15) Second-order parabolic equations (35K10) Fractional partial differential equations (35R11)

Related Items (1)

Function spaces induced by two parabolic Bloch spaces

Cites Work

• The reproducing formula with fractional orders on the parabolic Bloch space
• On the theory of harmonic functions of several variables
• A conjugate system and tangential derivative norms on parabolic Bergman spaces
• Fractional calculus on parabolic Bergman spaces
• Conjugate temperatures
• \(\alpha\)-parabolic Bergman spaces
• Harmonic Bergman Functions on Half-Spaces

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