A class of pairs of weights related to the boundedness of the Fractional Integral Operator between $L^p$ and Lipschitz spaces

Gladis Pradolini

Displaying similar documents to “A class of pairs of weights related to the boundedness of the Fractional Integral Operator between $L^{p}$ and Lipschitz spaces”

Weighted endpoint estimates for commutators of multilinear fractional integral operators

Xuefang Yan, Limei Xue, Wenming Li (2012)

Czechoslovak Mathematical Journal

Similarity:

Let $m$ be a positive integer, $0 < α < m n$ , $\vec{b} = (b_{1}, \dots, b_{m}) \in {BMO}^{m}$ . We give sufficient conditions on weights for the commutators of multilinear fractional integral operators $ℐ_{α}^{\vec{b}}$ to satisfy a weighted endpoint inequality which extends the result in D. Cruz-Uribe, A. Fiorenza: Weighted endpoint estimates for commutators of fractional integrals, Czech. Math. J. 57 (2007), 153–160. We also give a weighted strong type inequality which improves the result in X. Chen, Q. Xue: Weighted estimates for a class of multilinear fractional...

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

David Cruz-Uribe (2001)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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].

A two-weight estimate for a class of fractional integral operators with rough kernel.

Ding, Yong (2005)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Weighted inequalities for some integral operators with rough kernels

María Riveros, Marta Urciuolo (2014)

Open Mathematics

Similarity:

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.

Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces

Vagif Sabir Guliyev, Turhan Karaman, Rza Chingiz Mustafayev, Ayhan Şerbetçi (2014)

Czechoslovak Mathematical Journal

Similarity:

In this paper, the boundedness of a large class of sublinear commutator operators $T_{b}$ generated by a Calderón-Zygmund type operator on a generalized weighted Morrey spaces $M_{p, ϕ} (w)$ with the weight function $w$ belonging to Muckenhoupt’s class $A_{p}$ is studied. When $1 < p < \infty$ and $b \in BMO$ , sufficient conditions on the pair $(ϕ_{1}, ϕ_{2})$ which ensure the boundedness of the operator $T_{b}$ from $M_{p, ϕ_{1}} (w)$ to $M_{p, ϕ_{2}} (w)$ are found. In all cases the conditions for the boundedness of $T_{b}$ are given in terms of Zygmund-type integral inequalities on $(ϕ_{1}, ϕ_{2})$ , which...

Displaying similar documents to “A class of pairs of weights related to the boundedness of the Fractional Integral Operator between L p and Lipschitz spaces”

Weighted endpoint estimates for commutators of multilinear fractional integral operators

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

A two-weight estimate for a class of fractional integral operators with rough kernel.

Weighted inequalities for some integral operators with rough kernels

Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces

Displaying similar documents to “A class of pairs of weights related to the boundedness of the Fractional Integral Operator between $L^{p}$ and Lipschitz spaces”