Fractional integro-dierentiation in harmonic mixed norm spaces on a half-space

COROLLARY 6. Let {X,,, n > 1} be a sequence of independent, identically distributed B-valued random elements with EXa 0 and let {n, k >_ 1} be a strictly increasing sequence

The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their

A class of α-potentials represented as the sum of modified Green potential and modified Poisson integral are proved to have the growth estimates R α,l,l x ox β n |x| l−2β2 h|x| −1

Finally we present some application of these estimates, for proving existence of global solutions to semilinear damped fractional wave equations.. When α = 1, (1.1) becomes the

classes of harmonic functions are introduced and mixed Zaremba’s bound- ary value problem is studed in them, i.e., the problem of constructing a harmonic function when on a part of

As consequences, we obtain (a) a doubling property for certain pos- itive infinity-harmonic functions in smooth bounded domains and the half-space, and (b) the optimality of

In this paper, we establish some new retarded integral inequalities and derive explicit bounds on unknown functions, the results of which improve some known ones in [9]2. C 1 (M,

The purpose of the present work is to obtain a weighted norm Hardy-type inequality involving mixed norms which contains the above result as a special case and also provides