[PDF] Top 20 Boundedness and compactness of a class of Hardy type operators

... By applying our results in special cases we obtain both new and well-known results. Here we just consider the Riemann-Liouville, Erdelyi-Kober, and Hadamard operators men- tioned in our introduction. We use the ... See full document

... general class of ...the boundedness and compactness of the operators (1) and (2), where the corresponding matrices belong to such ...discrete Hardy-type ... See full document

... and compactness for composition operators on the Bloch ...two compactness criteria for composition operators on the Bloch space have been obtained in [28] and ...the boundedness and ... See full document

... composition operators from the Bloch space to the Hardy space H ∞ was carried out in [8] [9] for the unit ...the boundedness and the compactness of the composition operators and the ... See full document

... these operators on spaces of holomorphic functions in terms of their symbols ...linear operators between spaces of holomorphic functions started approx- imately a decade ago; see, for example, [–], and ... See full document

... the boundedness between weighted Lebesgue spaces for Hardy-type operators restricted to the cone of monotone functions and for the generalized Stieltjes ... See full document

... a class of p-adic Hardy type operator and considered the problem of finding a bound for the norm of it from p-adic Lebesgue product spaces with power weights to ...p-adic Hardy type ... See full document

... This definition was introduced by Coifman and Weiss in []. The doubling condition (.) for measures plays a key role in the classical theory of Calderón-Zygmund operators. How- ever, many results on the classical ... See full document

... weak Hardy spaces 𝐻 𝜔 𝑝,∞ on space of homogeneous type satisfying some reverse doubling ...the boundedness of fractional integral operators in 𝐻 𝜔 𝑝,∞ and prove an 𝐻 𝜔 𝑝,∞ interpolation ...the ... See full document

... The Hardy integral inequalities have received considerable attention due to their use- fulness in analysis and their ...the Hardy integral inequalities for p-adic Hardy operators and their ... See full document

... Abstract In this paper, we investigate boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Qk p, q spaces to Bloch-type spaces[r] ... See full document

... for Hardy-Orlicz spaces see 9, 10 and some equivalent characterizations of weighted Carleson measures for which we provide an alternative ...the boundedness of weighted Ces`aro-type integral ... See full document

... Some characterizations of the boundedness and compactness of the composition operator, as well as Volterra type operator, on the Zygmund space can be found in [–].. The purpose of th[r] ... See full document

... (see []) and also several more general kernels (see [, ]). Also, inequalities with modified or generalized kernels have been investigated; let us mention the recent book [] where multiple Hardy-type ... See full document

... New criteria for the boundedness and the compactness of the gen- eralized weighted composition operators from mixed norm spaces into Bloch- type spaces are given in this paper.. 1..[r] ... See full document

... composition operators between Zygmund-type ...the boundedness and compact- ness of composition operators on Bloch-Orlicz ...differentiation operators from Zygmund spaces to Bloch spaces ... See full document

... Abstract The boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Zygmund spaces to Bloch-type spaces and little Bloch-type spa[r] ... See full document

... the boundedness, compactness, weak compactness, and complete continuity of weighted composition operators on Hardy spaces H δ +1 (δ > 0) ...weak compactness from an operator T ... See full document

... the Hardy-Littlewood maximal operator, the singular integral operator, the frac- tional integral operator and the commutator of these operators in Morrey spaces have been studied by many authors; see [–] ... See full document

... operators supported by polynomial mappings M h,,P . The main purpose of this paper will not only address the residual problems with respect to exponents [25, 31] but also establish the corresponding continuity of ... See full document