Hardy's inequality and fractal measures

DOI10.1016/0022-1236(92)90148-CzbMath0753.28004MaRDI QIDQ1196575

Steve Hudson, Mark Leckband

Publication date: 16 January 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Fourier transformHausdorff dimensionHausdorff measurefractal measurediscrete measurequasi-regulargeneralized Hardy inequality\(\alpha\)-coherent setsSelf-similar sets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items

\(L^p\)-Fourier asymptotics, Hardy-type inequality and fractal measures, Self-Similar Measures and Their Fourier Transforms. II, Wavelet expansions of fractal measures

Cites Work

• Fourier asymptotics of fractal measures
• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• Asymptotic properties of solutions of differential equations with simple characteristics
• Interpolation of Linear Operators
• Weighted Norm Estimates for the Fourier Transform with a Pair of Weights
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