Spaces of Lorentz Multipliers

DOI10.4153/CJM-2001-024-5zbMath0972.43004OpenAlexW2084588029MaRDI QIDQ2715684

Kathryn E. Hare, Enji Sato

Publication date: 20 May 2001

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2001-024-5

zbMATH Keywords

multipliersconvolution operatorsLorentz spacesLorentz-improving multipliers

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Multipliers for harmonic analysis in several variables (42B15) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Multipliers in one variable harmonic analysis (42A45) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• Unnamed Item
• A convolution inequality concerning Cantor-Lebesgue measures
• The size of \(L^ p\)-improving measures
• Convolution estimates for some measures on flat curves
• Multiplier transformations of weak type
• Lorentz-improving measures
• Sharp convolution estimates for measures on flat surfaces
• Convolution operators and L(p, q) spaces
• On L(p,q) spaces
• Bad behavior and inclusion results for multipliers of type (p, q)
• Most Riesz Product Measures are L p -Improving
• Inclusions and Noninclusion of Spaces of Convolution Operators
• Some Strict Inclusions Between Spaces of L p -Multipliers
• An application of interpolation theory to Fourier series