
doi: 10.1007/bf02837048
The authors establish the boundedness on homogeneous weighted Herz spaces for a large class of operators with rough kernels and their commutators with BMO functions. These operators considered by the authors include the Calderón-Zygmund singular integral operators of Fefferman and the Ricci-Stein oscillatory singular integrals with rough kernel.
Harmonic analysis on homogeneous spaces, rough kernel, Singular and oscillatory integrals (Calderón-Zygmund, etc.), homogeneous Herz space, commutator, Commutators, derivations, elementary operators, etc., weight, Norms (inequalities, more than one norm, etc.) of linear operators, boundedness, Calderón-Zygmund operator, BMO, oscillatory singular integrals
Harmonic analysis on homogeneous spaces, rough kernel, Singular and oscillatory integrals (Calderón-Zygmund, etc.), homogeneous Herz space, commutator, Commutators, derivations, elementary operators, etc., weight, Norms (inequalities, more than one norm, etc.) of linear operators, boundedness, Calderón-Zygmund operator, BMO, oscillatory singular integrals
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