[PDF] Top 20 Multilinear fractional integral operators on central Morrey spaces with variable exponent

... the central Morrey space and the λ-central BMO space with variable exponent, which are de- fined, respectively, by taking the supremum over R ≥ 1 in Definition ... See full document

... introduced variable exponent Lebesgue and Sobolev spaces as a new method for dealing with nonlinear Dirichet boundary value ...Then, variable problem and differential equation with ... See full document

... Morrey-Herz spaces with constant exponent; see [, ...of variable exponent and also consider the boundedness on Morrey-Herz spaces with variable ...of ... See full document

... Herz spaces with variable exponent and prove the boundedness of fractional integrals on those spaces under proper assumptions on weights and ...function spaces and on the ... See full document

... variable exponent Lebesgue spaces defined on Euclidean spaces was investigated by many authors (see, ...of fractional and singular integrals in weighted L p(·) spaces was studied ... See full document

... of fractional integral operators and singular integral operators defined on homogeneous Lie groups in the local Morrey-type space LM pθ,ω ... See full document

... weighted variable Lebesgue spaces in [1]. As a general- ization of variable Lebesgue spaces, variable and weighted variable Herz–Morrey (Herz) spaces have been ... See full document

... of fractional integral operators on the classical Morrey spaces was stud- ied by Adams [], Chiarenza and Frasca et ...of fractional integrals in terms of the Hardy-Littlewood ... See full document

... establish multilinear BM O estimates for commutators of multilinear frac- tional maximal and integral operators both on product generalized Morrey spaces and product generalized ... See full document

... Variable exponent Herz spaces were considered by many authors in recent ...Herz spaces with two variable exponents and even with three variable exponents were produced by Almeida ... See full document

... the operators which are bounded on a Lebesgue space are also bounded in an appropriate Morrey space; see ...the fractional multilinear integral operator on Morrey ... See full document

... EM: Multilinear estimates and fractional ...on multilinear maps and ...for multilinear fractional integral ...of multilinear fractional integral ... See full document

... Proof We use the idea from []. Indeed in [] the authors only considered Banach space valued Orlicz spaces on the unit interval. Since, for each t ∈ A, ϕ(t, ·) is strictly increas- ing, let ϕ – (t, ·) be its ... See full document

... the fractional integral operator; in [10, 11], these results on the Triebel-Lizorkin spaces and the case b ∈ Lip β (where Lip β is the homogeneous Lipschitz space) are ...some multilinear ... See full document

... discussed variable exponent Lebesgue spaces and variable exponent Sobolev spaces, the field of variable exponent function spaces has witnessed an explosive ... See full document

... a multilinear commutator of the fractional integral ...linear operators are of great interest in harmonic analysis and have been widely studied by many authors (see [–, , , , , , ... See full document

... pseudo-differential operators with symbols in the class S α,δ –β , where  < δ ≤ α <  and n( – α)/ ≤ β < n/, are included in the strongly singular Calderón-Zygmund ...pseudo-differential ... See full document

... At the beginning, a one-dimensional Hardy inequality was considered assuming the the local log condition at the finite interval 0, l. Subsequently, the logarithmic condition was assumed in an arbitrarily small ... See full document

... weighted Morrey spaces L p,k (w) was introduced by Komori and Shirai ...classical integral operators and corresponding commuta- tors are bounded in weighted Morrey ...sublinear ... See full document

... generalized fractional integral operators on generalized Morrey ...generalized fractional integral operators on the predual of the generalized Morrey ... See full document