Poincaré–Sobolev and isoperimetric inequalities, maximal functions, and half-space estimates for the gradient
Wheeden, Richard L.
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Wheeden, Richard L.
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R. Trujillo-González (2003)
Commentationes Mathematicae Universitatis Carolinae
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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.
Cruz-Uribe, D., Fiorenza, A., Martell, J.M., Pérez, C. (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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María Riveros, Marta Urciuolo (2014)
Open Mathematics
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In this paper we study integral operators with kernels 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.
Liu, Lanzhe, Tong, Qingshan (2005)
International Journal of Mathematics and Mathematical Sciences
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