A lower estimate for weak-type Fourier multipliers

DOI10.1080/17476933.2021.1958796zbMath1487.42025OpenAlexW3187639743MaRDI QIDQ5862383

Alexei Yu. Karlovich, Eugene Shargorodsky

Publication date: 9 March 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1958796

zbMATH Keywords

Banach function spacecontinuous embeddingFourier multiplierabstract Lorentz spaceweak doubling property

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)

Cites Work

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• An introductory course in Lebesgue spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Weak type estimates of singular integral operators on Morrey-Banach spaces
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Classical Fourier Analysis
• Lorentz spaces with variable exponents
• Measure, Integration & Real Analysis
• Real Analysis
• When does the norm of a Fourier multiplier dominate its L∞ norm?

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