Yazar "Mustafayev, Rza" seçeneğine göre listele

Listeleniyor 1 - 5 / 5
  • Küçük Resim
    Öğe
    Boundedness of weighted iterated Hardy-type operators involving suprema from weighted Lebesgue spaces into weighted Cesàro function spaces
    (Michigan State Univ Press, 2020) Mustafayev, Rza; Bilgiçli, Nevin
    In this paper the boundedness of the weighted iterated Hardy-type operators T(u,b )and T-u,T-b* involving suprema from weighted Lebesgue space L-p(nu) into weighted Cesaro function spaces Ces(q)(w, a) are characterized. These results allow us to obtain the characterization of the boundedness of the supremal operator R-u from L-p(nu) into Ces(q)(w, a) on the cone of monotone non-increasing functions. For the convenience of the reader, we formulate the statement on the boundedness of the weighted Hardy operator P-u,P-b from L-P(nu) into Ces(q)(w, a) on the cone of monotone non-increasing functions. Under additional condition on u and b, we are able to characterize the boundedness of weighted iterated Hardy-type operator T-u,T-b involving suprema from L-P(nu) into Ces(q)(w, a) on the cone of monotone non-increasing functions. At the end of the paper, as an application of obtained results, we calculate the norm of the fractional maximal function M-gamma from A(P)(nu) into Gamma(q)(w).
  • Küçük Resim
    Öğe
    Boundedness Of Weıghted Iterated Hardy-Type Operators Involvıng Suprema From Weıghted Lebesgue Spaces Into Weıghted Cesàro Functıon Spaces
    (Michigan State University Press, 2020) Mustafayev, Rza; Bilgiçli, Nevin
    In this paper the boundedness of the weighted iterated Hardy-type operators Tu,b and Tu?,b involving suprema from weighted Lebesgue space Lp(v) into weighted Cesàro function spaces Cesq(w,a) are characterized. These results allow us to obtain the characterization of the boundedness of the supremal operator Ru from Lp(v) into Cesq(w,a) on the cone of monotone non-increasing functions. For the convenience of the reader, we formulate the statement on the boundedness of the weighted Hardy operator Pu,b from Lp(v) into Cesq(w,a) on the cone of monotone non-increasing functions. Under additional condition on u and b, we are able to characterize the boundedness of weighted iterated Hardy-type operator Tu,b involving suprema from Lp(v) into Cesq(w,a) on the cone of monotone non-increasing functions. At the end of the paper, as an application of obtained results, we calculate the norm of the fractional maximal function M? from ?p(v) into ?q(w). © 2020 Michigan State University Press. All rights reserved.
  • Küçük Resim
    Öğe
    Correction to: on weighted iterated hardy-type inequalities
    (Springer, 2024) Mustafayev, Rza
    [Abstract Not Available]
  • Küçük Resim
    Öğe
    An extension of the Muckenhoupt-Wheeden theorem to generalized weighted Morrey spaces
    (De Gruyter, 2020) Mustafayev, Rza; Küçükaslan, A.
    In this paper, we find the condition on a function ? and a weight v which ensures the equivalency of norms of the Riesz potential and the fractional maximal function in generalized weighted Morrey spaces Mp,?(?n , v) and generalized weighted central Morrey spaces ˙M p,?(?n , v), when v belongs to the Muckenhoupt A?-class. © 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.
  • Küçük Resim
    Öğe
    Multidimensional bilinear hardy inequalities
    (Inst Math & Mechanics Azerbaijan, 2020) Bilgiçli, Nesrin; Mustafayev, Rza; Ünver, Tülay
    Our goal in this paper is to find a characterization of n-dimensional bilinear Hardy inequalities parallel to integral(B(0,.)) f.integral(B(0,.)) g parallel to(q,u(0,infinity) )<= C parallel to f parallel to(p1,v1,Rn)parallel to g parallel to(p2,v2,Rn), f, g is an element of M+(R-n), parallel to integral c(B(0,.)) f.integral c(B(0,.)) g parallel to(q,u(0,infinity) )<= C parallel to f parallel to(p1,v1,Rn)parallel to g parallel to(p2,v2,Rn), f, g is an element of M+(R-n), when 0 < q <= infinity, 1 <= p1, p2 <= infinity and u and v1, v 2 are weight functions on (0,infinity ) and , R-n, respectively. Obtained results are new when p(i) = 1 or p(i) =infinity, i = 1, 2, or 0 < q <= 1 even in 1-dimensional case. Since the solution of the first inequality can be obtained from the characterization of the second one by usual change of variables we concentrate our attention on characterization of the latter. The characterization of this inequality is easily obtained for p(1) <= q using the characterizations of multidimensional weighted Hardy-type inequalities while in the case q < p(1) the problem is reduced to the solution of multidimensional weighted iterated Hardy-type inequality. To achieve our goal, we characterize the validity of multidimensional weighted iterated Hardy-type inequality parallel to parallel to integral cB((0,s)) h(z)dz parallel to(p,u,(0,t))parallel to(q,mu,(0,infinity) <= c parallel to h parallel to(theta,v,(0,infinity),) h is an element of M+(R-n) where 0 < p, q < infinity, 1 <= theta <= infinity, u is an element of W (0, infinity ), v is an element of W(R-n) and mu is a non-negative Borel measure on (0, infinity). We are able to obtain the characterization under the additional condition that the measure mu is non-degenerate with respect to U-q/p.