Marcinkiewicz integral on hardy spaces
Copyright policy )Marcinkiewicz integral on hardy spaces
The authors prove that the Marcinkiewicz integrals with kernel satisfying \(L^1\)-Dini condition are bounded from the Hardy space \(H^1(\mathbb R^n)\) into \(L^1(\mathbb R^n)\), and that if the kernel satisfies a stronger Dini-type condition, then the corresponding Marcinkiewicz integrals are also bounded from \(H^{1,\infty}(\mathbb R^n)\) into \(L^{1,\infty}(\mathbb R^n)\).
- Beijing Normal University China (People's Republic of)
- Beijing Normal University China (People's Republic of)
Integral operators, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, Dini condition, Hardy space, \(H^p\)-spaces, Marcinkiewicz integral, Lebesgue space
Integral operators, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, Dini condition, Hardy space, \(H^p\)-spaces, Marcinkiewicz integral, Lebesgue space
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