Remarks on the Hardy inequality.

Edmunds, D.E.; Hurri-Syrjänen, R.

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R. Trujillo-González (2003)

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In this paper we establish weighted norm inequalities for singular integral operators with kernel satisfying a variant of the classical Hörmander's condition.

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Weighted inequalities for some integral operators with rough kernels

María Riveros, Marta Urciuolo (2014)

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In this paper we study integral operators with kernels $K (x, y) = k_{1} (x - A_{1} y) \dots k_{m} (x - A_{m} y),$ $k_{i} (x) = {Ω_{i} (x) / |x|}^{n / q_{i}}$ where Ωi: ℝn → ℝ are homogeneous functions of degree zero, satisfying a size and a Dini condition, A i are certain invertible matrices, and n/q 1 +…+n/q m = n−α, 0 ≤ α < n. We obtain the appropriate weighted L p-L q estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators.

Hardy inequalities with non-standard remainder terms

Andrea Cianchi, Adele Ferone (2008)

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