[PDF] Top 20 Weighted Hardy and potential operators in the generalized Morrey spaces

... ) and radial type weight w ( | x |) . We obtain sufficient conditions, in terms of some integral inequalities imposed on ϕ and w, for such a p → ...q-boundedness. In some cases the ... See full document

... — In the framework of variable exponent Lebesgue and Morrey spaces we prove some boundedness results for operators with rough kernels, such as the maximal operator, ... See full document

... made in the study of maximal and singular operators and potential type operators in the generalized Lebesgue spaces L p( ·) with variable ... See full document

... Vakulov, Weighted Sobolev theorem with variable exponent for spatial and spher- ical potential operators, ...for the Riesz potential operator I α in the ... See full document

... A weighted statement on p( ·) → p(·)-boundedness for the Riesz potential operators on bounded domains was obtained in ...Kokilashvili and S.G. Samko [17], limiting in- ... See full document

... Introduction and main definitions. The weighted generalized functions associated with nondegenerate indefinite quadratic forms con- sidered in this article are necessary for ... See full document

... Pseudodifferential Operators, Parad- ifferential Operators, and Layer Potentials, ...Surveys and Monographs, AMS, Providence, RI, USA, ...Samko, and S. Samko, “Morrey-campanato ... See full document

... these spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less ... See full document

... with the inversion problem is by using the so-called approximative inverse operator (AIO) method, where the inverse operator is constructed as the limit of a certain sequence of convolution ... See full document

... norms in 𝑋, then the sequence {𝜒 𝑘 } 𝑘∈Z + converges weakly to zero on the abstract Hardy space ...𝐻[𝑋]. In Section 3, we provide proofs of our main results, using auxiliary results ... See full document

... within the framework of weighted Lebesgue spaces L p( ·) (Ω, w) with variable ...exponent. In case Ω is a bounded domain, the order α = α(x) is allowed to be variable as ...well. ... See full document

... Meanwhile weighted estimations of these operators in Morrey spaces were not studied (to our surprise, we did not find any such weighted result for maximal and singular ... See full document

... conditions, in terms of some integral inequalities imposed on ψ and w, for such a ...fficient in the general case, but we prove that they are also necessary when the function ψ and ... See full document

... exponent, and no monotonicity type condition is imposed onto the function ω( r ) defining the ‘‘complementary’’ Morrey-type ...norm. In the case where ω is a power function, we ... See full document

... Hazarika, On paranormed ideal convergent generalized difference strongly summable sequence spaes defined over n -normed spaces, International Scholarly Research Network, ISRN Mathematica[r] ... See full document

... products and services. This could prove to be quite a task for the typical Nigeria firm, with a practically unknown brand name and weak advertising ...Goldstein and O’Connor (2001) state that ... See full document

... Abstract. In this paper, we derive a sharp observability inequality for Kirchhoff plate equations with lower order ...0 and suitable boundary observation domains (satisfying the geometric conditions ... See full document

... ) the fixed point set of T , i.e. F ix(T ) := {x ∈ X|x ∈ T (x)} and by SF ix(T ) the strict fixed point set of T , ...(x)}. The symbol Graph(T ) := {(x, y) ∈ X × X : y ∈ T (x)} denotes ... See full document

... D.Andrijevic[1] and S.N.Maheshwari and P.C.Jain[9] introduced and investigated generalized semi closed sets, semi generalized closed sets, generalized semi preclosed sets, α- ... See full document

... Aos meus amigos de p´ os-gradua¸c˜ ao pela amizade. Em particular, Fernanda e Anderson (Super!) pela maravilhosa convivˆencia n˜ ao s´ o no IME mas tamb´em em casa. Vocˆes com certeza acompanharam de perto toda esta ... See full document