Carleson inequalities on parabolic Bergman spaces

DOI10.2748/tmj/1277298649zbMath1204.35013OpenAlexW2005799647MaRDI QIDQ991730

Masahiro Yamada, Noriaki Suzuki, Masaharu Nishio

Publication date: 7 September 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1277298649

zbMATH Keywords

Toeplitz operatorCarleson measureaveraging functionparabolic operator of fractional order

Mathematics Subject Classification ID

Heat equation (35K05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Inequalities involving derivatives and differential and integral operators (26D10) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

\(L^q\)-extensions of \(L^p\)-spaces by fractional diffusion equations ⋮ A tracing of the fractional temperature field ⋮ Regularity and capacity for the fractional dissipative operator

Cites Work

• Unnamed Item
• Carleson type measures on parabolic Bergman spaces
• Interpolating sequences of parabolic Bergman spaces
• Weighted Berezin transformations with application to Toeplitz operators of Schatten class on parabolic Bergman spaces
• Positive Toeplitz operators between the harmonic Bergman spaces
• \(\alpha\)-parabolic Bergman spaces
• Toeplitz operators and Carleson measures on parabolic Bergman spaces
• Compact Toeplitz operators on parabolic Bergman spaces
• Multipliers of Bergman spaces into Lebesgue spaces
• Representations and interpolations of harmonic Bergman functions on half-spaces
• Harmonic Bergman Functions on Half-Spaces

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