Weighted \(L^ p\) estimates for oscillating kernels

DOI10.1007/BF02384313zbMath0523.42018MaRDI QIDQ584663

Douglas S. Kurtz, Gary Sampson, Sagun Chanillo

Publication date: 1983

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

weightsHilbert transformconvolution operatorsmultiplier operatorsoscillating kernelsweak type (1,1)weakly singular operatorsweighted Lp estimates

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (7)

Boundedness of oscillatory singular integrals on Hardy spaces ⋮ A class of oscillatory singular integrals on Triebel-Lizorkin spaces ⋮ On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces ⋮ Weak (1,1) bounds for oscillatory singular integrals ⋮ Extension and boundedness of operators on Morrey spaces from extrapolation techniques and embeddings ⋮ Weighted estimates for rough oscillatory singular integrals ⋮ Strongly Singular Integrals on Stratified Groups

Cites Work

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• Oscillating kernels that map \(H^ 1\) into \(L^ 1\).
• \(H^p\) spaces of several variables
• Interpolation of Operators with Change of Measures
• Weighted Norm Inequalities for Strongly Singular Convolution Operators
• Results on Weighted Norm Inequalities for Multipliers
• Weighted norm inequalities for maximal functions and singular integrals
• ($L_{p}$,$L_{q}$) mapping properties of convolution transforms
• A weighted norm inequality for singular integrals
• Extensions of Hardy spaces and their use in analysis
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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