A note on generalized fractional integral operators on generalized Morrey spaces.

Sawano, Yoshihiro; Sugano, Satoko; Tanaka, Hitoshi

Displaying similar documents to “A note on generalized fractional integral operators on generalized Morrey spaces.”

On an inequality of G. H. Hardy.

Iqbal, Sajid, Krulić, Kristina, Pečarić, Josip (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

Limiting case of the boundedness of fractional integral operators on nonhomogeneous space.

Sawano, Yoshihiro, Sobukawa, Takuya, Tanaka, Hitoshi (2006)

Journal of Inequalities and Applications [electronic only]

Similarity:

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:

Solution of an extraordinary differential equation by Adomian decomposition method.

Ray, S.Saha, Bera, R.K. (2004)

Journal of Applied Mathematics

Similarity:

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].

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...

Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions.

Ahmad, Bashir, Nieto, Juan J. (2010)

International Journal of Differential Equations

Similarity: