On the primarity of \(H^{\infty}\)-spaces

DOI10.1007/BF02804016zbMath0551.46031MaRDI QIDQ801258

Jean Bourgain

Publication date: 1983

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

zbMATH Keywords

direct sum\(H^ p\)-spacesfactorization of the identity operatorprimarity

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items

Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ The l ^∞ direct sum of L ^p (1 < p < ∞) is primary ⋮ Factorization in \(\mathrm{SL}^{\infty}\) ⋮ A class of primary Banach spaces ⋮ Direct sums of finite dimensional $SL^\infty_n$ spaces ⋮ Dimension dependence of factorization problems: Biparameter Hardy spaces ⋮ Factorization in mixed norm Hardy and BMO spaces ⋮ Two remarks on primary spaces ⋮ The factorisation property ofl^∞(X_k) ⋮ Dimension dependence of factorization problems: Hardy spaces and \(SL_n^\infty\) ⋮ The space is primary for 1 < p < ∞ ⋮ Subsymmetric bases have the factorization property

Cites Work

• Decompositions of \(H_p\) spaces