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Spaces of Entire Analytic Functions
Spaces with Dominating Mixed Smoothness Properties
5 other sections not shown
anisotropic anisotropic spaces Banach space Besov spaces Borel measure Chapter compact subset complex interpolation complex-valued consequence defined Definition denoted dense dominating mixed smoothness E. M. Stein embedding entire analytic functions equivalent norms equivalent quasi-norm estimate exists a constant exists a positive extended finite follows Fourier multiplier theorem Fourier transform function spaces Furthermore given Hardy spaces Hence holds infimum isotropic keZn lacunary series Lebesgue measure Let Q linear ll/l LP(R Lp(Rn LP(T Lp(Tn maximal inequalities mixed smoothness properties multi-index multiplier assertions natural number non-critical non-negative integer notations obtain operator P. I. Lizorkin particular positive constant positive number problem proof of Theorem Proposition prove quasi-Banach space recall refer Remark replace respectively restrict ourselves right-hand side S. M. Nikol'skij Schmeisser sense sequence Sobolev spaces spaces with dominating Step subsection subset of Rn supp theory Triebel trigonometric polynomials ultra-distributions unweighted vector-valued weighted spaces yields