Boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces

DOI10.1155/2014/291397zbMath1472.42017OpenAlexW2039957187WikidataQ59037756 ScholiaQ59037756MaRDI QIDQ1723779

Shaoguang Shi, Lu, Shanzhen, Pan, Yibiao, Zun Wei Fu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/291397

zbMATH Keywords

interpolation of operatorsMuckenhoupt classes

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items

Operator inequalities of Morrey spaces associated with Karamata regular variation ⋮ Some one-sided estimates for oscillatory singular integrals ⋮ Norm inequalities for higher-order commutators of one-sided oscillatory singular integrals

Cites Work

• Unnamed Item
• Unnamed Item
• Hardy spaces and oscillatory singular integrals
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• The weighted norm inequality for a class of oscillatory integral operators
• Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels
• Multilinear oscillatory integrals with Calderón-Zygmund kernel
• Boundedness of oscillatory singular integrals on Hardy spaces
• On the Best Ranges for Ap+ and RHr+
• On weighted weak type norm inequalities for one-sided oscillatory singular integrals
• Interpolation of Operators with Change of Measures
• Weighted Inequalities for One-Sided Maximal Functions
• Singular integrals related to the Radon transform and boundary value problems
• Weighted Inequalities for the One-Sided Hardy-Littlewood Maximal Functions
• Weighted norm inequalities for maximal functions and singular integrals
• A⁺_∞ Condition
• One-Sided BMO Spaces
• On weighted inequalities for singular integrals
• New Proofs of Weighted Inequalities for the One-Sided Hardy-Littlewood Maximal Functions