BOUNDEDNESS OF HIGHER-ORDER MARCINKIEWICZ-TYPE INTEGRALS

Let A be a function with derivatives of order m and D γ A ∈Λ β (0 < β < 1, |γ| = m). The authors in the paper proved that if Ω ∈ L s (S n−1 ) (s ≥ n/(n − β)) is homogeneous of degree zero and satisfies a vanishing condition, then both the higher-order Marcinkiewicz-type integral

BOUNDEDNESS OF HIGHER-ORDER MARCINKIEWICZ-TYPE INTEGRALS

Let A be a function with derivatives of order m and D γ A ∈Λ β (0 < β < 1, |γ| = m). The authors in the paper proved that if Ω ∈ L s (S n−1 ) (s ≥ n/(n − β)) is homogeneous of degree zero and satisfies a vanishing condition, then both the higher-order Marcinkiewicz-type integral