1 citations · 6 across the 16 of their papers we have counts for
17 papers
Some new weak type inequality for weighted maximal operators of Walsh-Fourier series
David Baramidze, Lars-Erik Persson, Harpal Singh +1
In this paper we introduce some new weighted maximal operators of the partial sums of the Walsh-Fourier series. We prove that for some "optimal" weights these new operators indeed…
type inequalities for subsequences of Nörlund means of Walsh-Fourier series
David Baramidze, Lars-Erik Persson, Kristoffer Tangrand +1
We investigate the subsequence of Nörlund means with respect to the Walsh system generated by non-increasing and convex sequences. In particular, we prove that a bi…
Weighted maximal operators of Fejér means of Walsh-Fourier series in the martingale Hardy space
Nika Areshidze, Davit Baramidze, Lars-Erik Persson +1
In this paper we derive the restricted weighted maximal operator, defined by of Fejér means of Walsh-Four…
Sharpness of some Hardy-type inequalities
Lars-Erik Persson, Natasha Samko, George Tephnadze
The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the L…
Well-posedness of heat and wave equations generated by Rubin's q-difference operator in Sobolev spaces
Serikbol Shaimardan, Lars-Erik Persson, Niyaz Tokmagambetov
In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin's difference…
Existence and uniqueness of some Cauchy Type Problems in fractional q-difference calculus
Lars-Erik Persson, Serikbol Shaimardan, Nariman Sarsenovich Tokmagambetov
In this paper we derive a sufficient condition for the existence of a unique solution of a Cauchy type q-fractional problem (involving the fractional q-derivative of Riemann-Liouvi…