On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc

DOI10.21136/cmj.1983.101891zbMath0594.46027OpenAlexW2604441109MaRDI QIDQ3724966

Peter Oswald

Publication date: 1983

Full work available at URL: https://eudml.org/doc/13395

zbMATH Keywords

spaces of Besov-Hardy-Sobolev typeequivalent quasinormsdecompositions of the power seriesperiodic distributions of power series type

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (9)

Interpolation of rational approximation spaces belonging to the Besov class ⋮ On the Littlewood-Paley \(g\)-function and Calderón's area theorem ⋮ Integrability of vector-valued lacunary series with applications to function spaces ⋮ Cesàro exponents of mixed norm spaces ⋮ Besov-Lipschitz and mean Besov-Lipschitz spaces of holomorphic functions on the unit ball ⋮ Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel-Lizorkin spaces ⋮ Harmonic Besov and Triebel-Lizorkin spaces on the ball ⋮ Rational bases for spaces of holomorphic functions in the disc ⋮ On the Libera operator

Cites Work

• A maximal function with applications to Fourier series
• On strong summability of multiple Fourier series and smoothness properties of functions
• Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory
• Mean values of power series
• Lipschitz spaces of functions on the circle and the disc
• \(H^p\) spaces of several variables
• On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
• Russian text ignoredLp, 0 <p < 1
• Vector Valued Inequalities for Fourier Series
• Some Maximal Inequalities
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