Estimates of the \(L^p\)-norms of derivatives in spaces of entire functions

DOI10.1007/s10958-005-0330-9zbMath1151.30332OpenAlexW2082513744MaRDI QIDQ937881

Anton D. Baranov

Publication date: 18 August 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0330-9

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Banach spaces of continuous, differentiable or analytic functions (46E15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (8)

Interpolation formulas with derivatives in de Branges spaces. II. ⋮ Necessary and sufficient condition for boundedness of translation operator in de Branges spaces ⋮ Continuous embedding between P-de Branges spaces ⋮ Necessary conditions for boundedness of translation operator in de Branges spaces ⋮ Mean convergence of entire interpolations in weighted space ⋮ Interpolation formulas with derivatives in de Branges spaces ⋮ Entire functions of least deviation from zero in generalized Orlicz classes ⋮ Weighted uniform convergence of entire Grünwald operators on the real line

Cites Work

• Embedding theorems for star-invariant subspaces generated by smooth inner functions
• Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's \((A_p)\) condition
• On embedding theorems for coinvariant subspaces of the shift operator. II.
• The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\)
• Carleson measures for functions orthogonal to invariant subspaces
• Differentiation in star-invariant subspaces. I: Boundedness and compactness
• Fourier frames
• Radial Limits and Star Invariant Subspaces of Bounded Mean Oscillation
• Weighted Paley-Wiener spaces
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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