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Some sharp inequalities for integral operators with homogeneous kernel
(Peer reviewed, 2016-04-09)
One goal of this paper is to show that a big number of inequalities for functions in Lp(R+), p ≥ 1, proved from time to time in journal publications are particular cases of some known general results for integral operators ...
Sharp Hp-Lp type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications
(Peer reviewed, 2016-10-01)
We prove and discuss some new Hp-Lp type inequalities of weighted maximal operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense. ...
Some new estimates of the ‘Jensen gap’
(Peer reviewed, 2016-02-01)
Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces
(Journal article; Peer reviewed, 2013)
We study the p(.) -> q(.) boundedness of weighted multidimensional Hardy-type operators H-w(alpha(.)) and H-w(alpha(.)) of variable order alpha(x), with radial weight w(vertical bar x vertical bar), from a variable exponent ...
Weighted Hardy Operators in Complementary Morrey Spaces
(Journal article; Peer reviewed, 2012)
Boundedness and compactness of a class of Hardy type operators
(Journal article; Tidsskriftartikkel; Peer reviewed, 2016-12-13)
We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these results ...
Weighted Hardy type inequalities for supremum operators on the cones of monotone functions
(Peer reviewed, 2016-09-28)
The complete characterization of the weighted L<sup>p</sup>-L<sup>r</sup> inequalities of supremum operators on the cones of monotone functions for all 0 < p, r≤∞ is given.
A note on the maximal operators of Vilenkin-Nörlund means with non-increasing coefficients
(Peer reviewed, 2016)
In  we investigated some Vilenkin—Nörlund means with non-increasing coefficients. In particular, it was proved that under some special conditions the maximal operators of such summabily methods are bounded from the ...
A new discrete Hardy-type inequality with kernels and monotone functions
(Peer reviewed, 2015-10-06)
A new discrete Hardy-type inequality with kernels and monotone functions is proved for the case 1<q<p<∞1<q<p<∞. This result is discussed in a general framework and some applications related to Hölder’s summation method are ...
Some new Hardy-type inequalities in q-analysis
(Peer reviewed, 2016-09)
We derive necessary and sufficient conditions (of Muckenhoupt-Bradley type) for the validity of q -analogs of (r, p) -weighted Hardy-type inequalities for all possible positive values of the parameters r and p . We also ...