Some applications of \(L^1\)-estimates of fractional integral operators in Lorentz spaces

DOI10.1007/s40840-023-01563-6OpenAlexW4385302676MaRDI QIDQ6174622

Denny Ivanal Hakim, Daniel Salim, Muhamad Jamaludin

Publication date: 17 August 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-023-01563-6

zbMATH Keywords

Lorentz spacesRiesz potentialsOlsen inequalityvector-valued inequality

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) (H^p)-spaces (42B30) Potential operators (47G40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An \(L^1\)-type estimate for Riesz potentials
• On the theory of harmonic functions of several variables
• A note on Riesz potentials
• An optimal Sobolev embedding for \(L^1\)
• Convolution operators and L(p, q) spaces
• Functions of several variables and absolute continuity. 2
• Classical Fourier Analysis
• Fractional Integration, morrey spaces and a schrödinger equation
• On a theorem of functional analysis
• Weighted Norm Inequalities for Singular and Fractional Integrals

This page was built for publication: Some applications of \(L^1\)-estimates of fractional integral operators in Lorentz spaces