A New Proof of an Inequality of Littlewood and Paley

DOI10.2307/2046870zbMath0665.30035OpenAlexW4253822754MaRDI QIDQ3816300

Daniel H. Luecking

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046870

zbMATH Keywords

inequality of Littlewood and Paley

Mathematics Subject Classification ID

Related Items

Integration Operator Acting on Hardy and Weighted Bergman Spaces ⋮ A characterization of Bloch space and Besov space ⋮ On a Littlewood-Paley type inequality ⋮ Littlewood-Paley inequalities in uniformly convex and uniformly smooth Banach spaces ⋮ Carleson measures, multipliers and integration operators for spaces of Dirichlet type ⋮ A Littlewood and Paley-type inequality on the ball ⋮ On a logarithmic Hardy-Bloch type space ⋮ Hardy-Stein identities and Littlewood-Paley inequalities in a polydisc ⋮ Univalent functions in Hardy, Bergman, Bloch and related spaces ⋮ Harmonic conjugates on Bergman spaces induced by doubling weights ⋮ Quantities equivalent to the norm of a weighted Bergman space ⋮ A nested embedding theorem for Hardy-Lorentz spaces with applications to coefficient multiplier problems ⋮ Univalent functions in Hardy spaces in terms of the growth of arc-length ⋮ A short proof of an inequality of Littlewood and Paley ⋮ Path connectedness of Volterra type integral operators on Bergman and Dirichlet type spaces

Cites Work

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• The essential norm of a composition operator
• The radial variation of analytic functions
• Forward and Reverse Carleson Inequalities for Functions in Bergman Spaces and Their Derivatives
• Criteria for Functions to be of Hardy Class H p
• On a Theorem of M. Riesz
• Theorems on Fourier Series and Power Series (II)^†