Displaying similar documents to “Two-weight norm inequalities for the rough fractional integrals.”

The Neumann problem for some degenerate elliptic equations

Albo Carlos Cavalheiro (2006)

Applications of Mathematics

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In the paper we study the equation L u = f , where L is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set Ω . We prove existence and uniqueness of solutions in the space H ( Ω ) for the Neumann problem.

Carlson type inequalities.

Barza, Sorina, Pečarić, Josip, Persson, Lars-Erik (1998)

Journal of Inequalities and Applications [electronic only]

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Weighted inequalities for some integral operators with rough kernels

María Riveros, Marta Urciuolo (2014)

Open Mathematics

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In this paper we study integral operators with kernels K ( x , y ) = k 1 ( x - A 1 y ) ⋯ k m x - A m y , k i x = Ω i x Ω i x x x n n q i 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.