On weighted dyadic Carleson's inequalities.

Tachizawa, K.

Displaying similar documents to “On weighted dyadic Carleson's inequalities.”

Weighted inequalities for anisotropic maximal functions

Vachtang Michailovič Kokilashvili, Jiří Rákosník (1985)

Časopis pro pěstování matematiky

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Two-weight norm inequalities for the rough fractional integrals.

Ding, Yong, Lin, Chin-Cheng (2001)

International Journal of Mathematics and Mathematical Sciences

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Weighted norm inequalities for maximal functions from the Muckenhoupt conditions.

Y. Rakotondratsimba (1994)

Publicacions Matemàtiques

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For some pairs of weight functions u, v which satisfy the well-known Muckenhoupt conditions, we derive the boundedness of the maximal fractional operator M (0 ≤ s < n) from L to L with q < p.

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 $K (x, y) = k_{1} (x - A_{1} y) \dots k_{m} (x - A_{m} y),$ $k_{i} (x) = {Ω_{i} (x) / |x|}^{n / q_{i}}$ 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.

A new proof of weighted weak-type inequalities for fractional integrals

David Cruz-Uribe (2001)

Commentationes Mathematicae Universitatis Carolinae

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We give a new and simpler proof of a two-weight, weak $(p, p)$ inequality for fractional integrals first proved by Cruz-Uribe and Pérez [4].