The size of \(L^ p\)-improving measures

DOI10.1016/0022-1236(89)90106-7zbMath0678.43001OpenAlexW2040704748MaRDI QIDQ1124080

Kathryn E. Hare, David L. Ritter, Colin C. Graham

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90106-7

zbMATH Keywords

convolutiondistribution functionlocally compact abelian groupabsolute continuitydual groupLipschitz classFourier- Stieltjes transform\(L^ p\)-improving measures

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (9)

Optimal extension of Fourier multiplier operators in \(L^p(G)\) ⋮ Variability of paths and differential equations with \(\mathrm{BV}\)-coefficients ⋮ Spaces of Lorentz Multipliers ⋮ The spectral mapping property for p–multiplier operators on compact abelian groups ⋮ AN EIGENSPACE CHARACTERIZATION OF LORENTZ-IMPROVING MEASURES ON COMPACT GROUPS ⋮ Approximation of \(p\)-multiplier operators via their spectral projections ⋮ Fourier multipliers from \(L^p\)-spaces to Morrey spaces on the unit circle ⋮ Necessary condition for measures which are \((L^q ,L^p )\) multipliers ⋮ On the Oberlin affine curvature condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A convolution inequality concerning Cantor-Lebesgue measures
• Spectra of singular measures as multipliers on \(L^p\)
• Functions of \(L^ p\)-multipliers
• Noncommutative convolution measure algebras
• Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
• On the spectra of multipliers
• Most Riesz Product Measures are L p -Improving
• Some singular measures on the circle which improve $L^p$ spaces
• A Characterization of L p -Improving Measures
• Subspaces of $L^{1}$ containing $L^{1}$
• A convolution property of the Cantor-Lebesgue measure

This page was built for publication: The size of \(L^ p\)-improving measures