Nikolskii-type inequalities in connection with regular spectral measures

DOI10.1007/BF01903392zbMath0398.42019MaRDI QIDQ4183193

R. J. Nessel, G. Wilmes

Publication date: 1979

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

MultiplierEntire Functions of Exponential TypeSpectral MeasureBesov Potential SpacesBessel Potential SpacesConverse to Hoelder's InequalityGeneral Class of Orthogonal ExpansionsLebesgue Potential SpacesLorentz Potential SpacesTrigonometric Polynomials of Several Variables

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General harmonic expansions, frames (42C15) Vector-valued measures and integration (46G10) Fourier series and coefficients in several variables (42B05) Multipliers in one variable harmonic analysis (42A45) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items

Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems, Nikol'skii type inequality; Bessel weight; extremal functions; extremal constants, Aspects of de La Vallée Poussin's work in approximation and its influence, A Bohr-Nikol'skii inequality for weighted Lebesgue spaces, Behavior of partial sums of lacunary Fourier series

Cites Work

• Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures
• Interpolation in polynomial classes and Markoff's inequality
• Approximation property of functions and absolute convergence of Fourier series
• Comparison theorems for a generalized modulus of continuity
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