Homogeneous polynomials on the ball and polynomial bases

DOI10.1007/BF02764988zbMath0724.46016MaRDI QIDQ757784

Jean Bourgain

Publication date: 1989

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

zbMATH Keywords

basesball-algebraP\({}_{\lambda }\)-spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Sampling discretization and related problems ⋮ Orthonormal polynomial bases in function spaces ⋮ Weighted spaces of holomorphic \(2\pi\)-periodic functions on the upper halfplane

Cites Work

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• Construction of polynomial bases in finite-dimensional spaces of functions analytic in the disk
• The finite-dimensional P(lambda) spaces with small lambda
• On uncomplemented subspaces of \(L_p\), \(1<p<2\)
• On Homogeneous Polynomials on a Complex Ball
• Projections and Isomorphisms of the Ball Algebra
• Applications of the Spaces of Homogeneous Polynomials to some Problems on the Ball Algebra
• On the Distance of Subspaces of l p n to l p k
• Some Parameters Associated with Finite-Dimensional Banach Spaces