\(\alpha\)-parabolic Bergman spaces

zbMath1211.35132MaRDI QIDQ1775260

Katsunori Shimomura, Masaharu Nishio, Noriaki Suzuki

Publication date: 6 May 2005

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Heat equation (35K05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (11)

Reproducing kernels for iterated parabolic operators on the upper half space with application to polyharmonic Bergman spaces ⋮ The reproducing formula with fractional orders on the parabolic Bloch space ⋮ Interpolating sequences of parabolic Bergman spaces ⋮ \(L^q\)-extensions of \(L^p\)-spaces by fractional diffusion equations ⋮ Toeplitz operators and Carleson measures on parabolic Bergman spaces ⋮ \(L^{(\alpha)}\)-conjugates on parabolic Bergman spaces ⋮ Carleson measure problems for parabolic Bergman spaces and homogeneous Sobolev spaces ⋮ Carleson inequalities on parabolic Bergman spaces ⋮ A tracing of the fractional temperature field ⋮ Homogeneous Campanato-Sobolev classes ⋮ Regularity and capacity for the fractional dissipative operator

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