... ) 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 ...
... — Inthe framework of variable exponent Lebesgue andMorreyspaces we prove some boundedness results for operators with rough kernels, such as the maximal operator, ...
... Vakulov, Weighted Sobolev theorem with variable exponent for spatial and spher- ical potentialoperators, ...for the Riesz potential operator I α inthe ...
... A weighted statement on p( ·) → p(·)-boundedness for the Riesz potentialoperators on bounded domains was obtained in ...Kokilashvili and S.G. Samko [17], limiting in- ...
... Introduction and main definitions. Theweightedgeneralized functions associated with nondegenerate indefinite quadratic forms con- sidered in this article are necessary for ...
... Pseudodifferential Operators, Parad- ifferential Operators, and Layer Potentials, ...Surveys and Monographs, AMS, Providence, RI, USA, ...Samko, and S. Samko, “Morrey-campanato ...
... 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 ...
... 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 ...
... 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 ...
... 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. ...
... Meanwhile weighted estimations of these operatorsinMorreyspaces were not studied (to our surprise, we did not find any such weighted result for maximal and singular ...
... conditions, in terms of some integral inequalities imposed on ψ and w, for such a ...fficient inthe general case, but we prove that they are also necessary when the function ψ and ...
... exponent, and no monotonicity type condition is imposed onto the function ω( r ) defining the ‘‘complementary’’ Morrey-type ...norm. Inthe case where ω is a power function, we ...
... Hazarika, On paranormed ideal convergent generalized difference strongly summable sequence spaes defined over n -normed spaces, International Scholarly Research Network, ISRN Mathematica[r] ...
... 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 ...
... 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 ...
... ) 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 ...
... 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 ...