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| 2. |
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| 3. |
- Abylayeva, A. M., et al.
(författare)
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Additive weighted Lp estimates of some classes of integral operators involving generalized Oinarov Kernels
- 2017
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Ingår i: Journal of Mathematical Inequalities. - : Ele-Math. - 1846-579X .- 1848-9575. ; 11:3, s. 683-694
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Tidskriftsartikel (refereegranskat)abstract
- Inequalities of the formkuK f kq 6C(kr f kp +kvH f kp) , f > 0,are considered, where K is an integral operator of Volterra type and H is the Hardy operator.Under some assumptions on the kernel K we give necessary and sufficient conditions for suchan inequality to hold.1
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| 4. |
- Baǐarystanov, Askar O., et al.
(författare)
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Some new hardy-type inequalities in q-analysis
- 2016
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Ingår i: Journal of Mathematical Inequalities. - : Element d.o.o.. - 1846-579X .- 1848-9575. ; 10:3, s. 761-781
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Tidskriftsartikel (refereegranskat)abstract
- 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 point out some possibilities to further develop the theory of Hardy-type inequalities in this new direction
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| 5. |
- Burtseva, Evgeniya, 1988-, et al.
(författare)
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Multi–dimensional Hardy type inequalities in Hölder spaces
- 2018
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Ingår i: Journal of Mathematical Inequalities. - Zagreb : Element D.O.O.. - 1846-579X .- 1848-9575. ; 12:3, s. 719-729
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Tidskriftsartikel (refereegranskat)abstract
- Most Hardy type inequalities concern boundedness of the Hardy type operators in Lebesgue spaces. In this paper we prove some new multi-dimensional Hardy type inequalities in Hölder spaces.
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| 6. |
- Fabelurin, O.O, et al.
(författare)
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Multidimensional Hardy-type inequalities on time scales with variable exponents
- 2019
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Ingår i: Journal of Mathematical Inequalities. - Zagreb, Croatia : Element. - 1846-579X .- 1848-9575. ; 13:3, s. 725-736
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Tidskriftsartikel (refereegranskat)abstract
- A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derived Jensen inequality is then employed to obtain the general Hardy-type integral inequality for superquadratic and subquadratic functions of several variables.
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| 7. |
- Fan, Ming
(författare)
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Quadratic interpolation and some operator inequalities
- 2011
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Ingår i: Journal of Mathematical Inequalities. - 1846-579X .- 1848-9575. ; 5:3, s. 413-427
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Tidskriftsartikel (refereegranskat)abstract
- We investigate some properties of Hilbert spaces and bounded linear operators under quadratic interpolation in both qualitative and quantitative ways. Interpolation type, reiteration, interpolation methods associated with quasi-power function parameters, nonlinear commutator estimates, and interpolation of certain operators and spectral properties are under consideration.
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| 8. |
- Kopezhanova, Aigerim, et al.
(författare)
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A new generalization of Boas theorem for some Lorentz spaces lambda(q)(omega)
- 2018
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Ingår i: Journal of Mathematical Inequalities. - : Element D.O.O.. - 1846-579X .- 1848-9575. ; 12:3, s. 619-633
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Tidskriftsartikel (refereegranskat)abstract
- Let Lambda(q)(omega), q > 0, denote the Lorentz space equipped with the (quasi) norm parallel to f parallel to(Lambda q(omega)) := (integral(1)(0) (f*(t)omega(t))(q)dt/t)(1/q) for a function integral on [0,1] and with omega positive and equipped with some additional growth properties. A generalization of Boas theorem in the form of a two-sided inequality is obtained in the case of both general regular system Phi = {phi(k)}(k=1)(infinity) and generalized Lorentz Lambda(q) (omega) spaces.
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| 9. |
- Kufner, Alois, et al.
(författare)
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Generalized weighted inequality with negative powers
- 2007
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Ingår i: Journal of Mathematical Inequalities. - : Element d.o.o.. - 1846-579X .- 1848-9575. ; 1:2, s. 269-280
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Tidskriftsartikel (refereegranskat)abstract
- In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequality for the case -∞ < q p < 0 and 0 < p q < 1 are derived. Furthermore, some special cases are considered
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| 10. |
- Kufner, A., et al.
(författare)
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On weighted Fourier inequalities : Some new scales of equivalent conditions
- 2021
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Ingår i: Journal of Mathematical Inequalities. - : Element. - 1846-579X .- 1848-9575. ; 15:2, s. 879-898
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Tidskriftsartikel (refereegranskat)abstract
- For Lebesgue spaces on R-n, we study two-weight p -> q-inequalities for Fourier transform. Some sufficient conditions on weights for such inequalities are known for special ranges of parameters p and q. In the same ranges of parameters we show, that in every case each of those conditions can be replaced by infinitely many conditions, even by continuous scales of conditions. We also derive some new such characterizations concerning the Fourier transform in weighted Lorentz spaces.
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