Yazar "Mustafayev, Rza" seçeneğine göre listele

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    Dual Spaces Of Local Morrey-Type Spaces
    (Springer Heidelberg, 2011) Gogatishvili, Amiran; Mustafayev, Rza
    In this paper we show that associated spaces and dual spaces of the local Morrey-type spaces are so called complementary local Morrey-type spaces. Our method is based on an application of multidimensional reverse Hardy inequalities.
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    Embeddings Between Weighted Copson And Cesaro Function Spaces
    (Springer Heidelberg, 2017) Gogatishvili, Amiran; Mustafayev, Rza; Unver, Tugce
    In this paper, characterizations of the embeddings between weighted Copson function spaces Cop(p1,q1)(u(1),v(1)) and weighted Cesaro function spaces Ces(p2,q2) (u(2) , v(2)) are given. In particular, two-sided estimates of the optimal constant c in the inequality (integral(infinity)(0) (integral(t)(0) f(tau)(p2)v2(tau)d tau)(q2/p2) u2(t)dt)(1/q2)& para;& para;<= c(integral(infinity)(0) (integral(t)infinity f(tau)(p1)v1(tau)d tau)(q1/p1) u1(t)dt)(1/q1), where p(1), p(2), q(1), q(2) is an element of (0,infinity), p(2) <= q(2) and u(1), u(2), v(1), v(2) are weights on (0,infinity) are obtained. The most innovative part consists of the fact that possibly different parameters p1 and p2 and possibly different inner weights v(1) and v(2) are allowed. The proof is based on the combination of duality techniques with estimates of optimal constants of the embeddings between weighted Cesaro and Copson spaces and weighted Lebesgue spaces, which reduce the problem to the solutions of iterated Hardy-type inequalities.
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    A note on maximal commutators and commutators of maximal functions
    (Math Soc Japan, 2015) Agcayazi, Mujdat; Gogatishvili, Amiran; Koca, Kerim; Mustafayev, Rza
    In this paper maximal commutators and commutators of maximal functions with functions of bounded mean oscillation are investigated. New pointwise estimates for these operators are proved.
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    Reverse Hardy-type inequalities for supremal operators with measures
    (Element, 2015) Mustafayev, Rza; Unver, Tugce
    In this paper we characterize the validity of the inequalities parallel to g parallel to(p,(a, b),lambda) <= c parallel to u(x)parallel to g parallel to(infinity,(x,b),mu) parallel to(q,(a,b),nu) and parallel to g parallel to(p,(a, b),lambda) <= c parallel to u(x)parallel to g parallel to(infinity,(a,x),mu) parallel to(q,(a,b),nu) for all non-negative Borel measurable functions g on the interval (a, b) subset of R, where 0 < p <= +infinity, 0 < q <= +infinity, lambda, mu and nu are non-negative Borel measures on (a, b), and u is a weight function on (a, b)
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    Some new iterated Hardy-type inequalities: the case θ=1
    (Springer International Publishing Ag, 2013) Gogatishvili, Amiran; Mustafayev, Rza; Persson, Lars-Erik
    In this paper we characterize the validity of the Hardy-type inequality parallel to parallel to integral(infinity)(s)h(z)dz parallel to(p,u,(0,t))parallel to(q,w,(0,infinity)) <= c parallel to h parallel to(1,v,(0,infinity)), where 0 < p < infinity, 0 < q <= +infinity, u, w and v are weight functions on (0, infinity). It is pointed out that this characterization can be used to obtain new characterizations for the boundedness between weighted Lebesgue spaces for Hardy-type operators restricted to the cone of monotone functions and for the generalized Stieltjes operator.
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    Weak-type Estimates in Morrey Spaces for Maximal Commutator and Commutator of Maximal Function
    (Tokyo Journal Mathematics Editorial Office Acad Center, 2018) Gogatishvili, Amiran; Mustafayev, Rza; Agcayazi, Mujdat
    In this paper it is shown that the Hardy-Littlewood maximal operator M is not bounded on Zygmund-Money space M-L(log L),M-lambda,M- O < lambda < n, but M is still bounded on M-L(logL),M-lambda for radially decreasing functions. The boundedness of the iterated maximal operator M-2 from M-L(log L),M-lambda to weak Zygmund-Morrey space WML(log L),lambda is proved. The class of functions for which the maximal commutator C-b is bounded from ML((log L),lambda)to WM(L(log L),lambda)are characterized. It is proved that the commutator of theHIardy-Littlewood maximal operator M with function b is an element of BMO(R-n)A such that b(-)is an element of L-infinity(R-n)A is bounded fom M(L(log L),lambda)to WM(L(log L),lambda. )New pointwise characterizations of M alpha M by means of norm of Hardy-Littlewood maximal function in classical Morrey spaces are given.