Results 41 to 50 of about 75,669 (266)

Fractional integrals on weighted 𝐻^{𝑝} spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1985
We characterize the pairs of doubling weights ( u , v ) (u,v) on R n {R^n} such that \[ ∥ I α f ∥ H
Angel E. Gatto   +2 more
openaire   +1 more source

On weighted inequalities for certain fractional integral operators [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
This paper considers the modified fractional integral operators involving the Gauss hypergeometric function and obtains weighted inequalities for these operators. Multidimensional fractional integral operators involving the H‐function are also introduced.
R. K. Raina
doaj   +2 more sources

Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation

open access: yesResults in Applied Mathematics, 2022
In this article, we construct an efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation.
Jiarui Wang, Yang Liu, Cao Wen, Hong Li
doaj   +1 more source

Central and non-central limit theorems for weighted power variations of fractional Brownian motion [PDF]

open access: yes, 2009
In this paper, we prove some central and non-central limit theorems for renormalized weighted power variations of order q>=2 of the fractional Brownian motion with Hurst parameter H in (0,1), where q is an integer. The central limit holds for 1/(2q)
Nourdin, Ivan   +2 more
core   +7 more sources

Fractional integration, differentiation, and weighted Bergman spaces [PDF]

open access: yesMathematical Proceedings of the Cambridge Philosophical Society, 1999
We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coeffficients of functions in certain subclasses of these spaces. We then derive several criteria for the multipliers between such spaces, complementing and extending various recent results.
Buckley, Stephen M.   +2 more
openaire   +3 more sources

On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces

open access: yesJournal of Function Spaces, 2016
We study some multilinear operators with rough kernels. For the multilinear fractional integral operators TΩ,αA and the multilinear fractional maximal integral operators MΩ,αA, we obtain their boundedness on weighted Morrey spaces with two weights Lp,κ(u,
Sha He, Xiangxing Tao
doaj   +1 more source

On integral inequalities related to the weighted and the extended Chebyshev functionals involving different fractional operators

open access: yesJournal of Inequalities and Applications, 2020
The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended Chebyshev ...
Barış Çelik   +3 more
doaj   +1 more source

Theory of Fractional Hybrid Problems in the Frame of ψ-Hilfer Fractional Operators

open access: yesJournal of Function Spaces, 2022
In the present manuscript, we develop and extend a qualitative analysis for two classes of boundary value problems for nonlinear hybrid fractional differential equations with hybrid boundary conditions involving a ψ-Hilfer fractional order derivative ...
Saeed M. Ali   +4 more
doaj   +1 more source

Positive Weighted Symmetry Function Kernels and Some Related Inequalities for a Generalized Class of Convex Functions

open access: yesJournal of Function Spaces, 2022
The fractional integral inequalities are crucial to deal applied problems. The present paper deals with the generalize midpoint type inequalities for a certain class of convex functions, namely, MT-convex functions in the setting of weighted fractional ...
Yeliang Xiao   +3 more
doaj   +1 more source

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