Results 11 to 20 of about 199 (79)
Boundedness of positive operators on weighted amalgams [PDF]
, 2011 In this article, we characterize the pairs (u, v) of positive measurable functions such that T maps the weighted amalgam in (Lp (u), ℓ q ) for all , where T belongs to a class of positive operators which includes Hardy operators, maximal ...
María Isabel Aguilar Cañestro +3 more
core +1 more source
Commutators of fractional integrals on martingale Morrey spaces
Mathematical Inequalities & Applications, 2019 On martingale Morrey spaces we give necessary and sufficient conditions for the boundedness and compactness of the commutator generated by the fractional integral and a function in the martingale Campanato space.
E. Nakai, Gaku Sadasue
semanticscholar +1 more source
On some multilinear commutators in variable Lebesgue spaces
, 2017 In this paper, the authors obtain some characterizations of BMO in terms of commutators of multilinear fractional integrals and Caldrón-Zygmund singular integrals on variable Lebesgue spaces.
Jian Tan, Zongguang Liu, Ji an Zhao
semanticscholar +1 more source
Notes on the Herz-type Hardy spaces of variable smoothness and integrability
, 2016 The aim of this paper is twofold. First we give a new norm equivalents of the variable Herz spaces Kα(·) p(·),q(·) (R n) and K̇α(·) p(·),q(·) (R n) . Secondly we use these results to prove the atomic decomposition for Herz-type Hardy spaces of variable ...
D. Drihem, Fakhreddine Seghiri
semanticscholar +1 more source
Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
Journal of Mathematical Study, 2020 On the real line, the Dunkl operators Dν( f )(x) := d f (x) dx +(2ν+1) f (x)− f (−x) 2x , ∀x∈R, ∀ν≥− 1 2 are differential-difference operators associated with the reflection group Z2 on R, and on the Rd the Dunkl operators { Dk,j }d j=1 are the ...
Vagif S. Guliyev sci
semanticscholar +1 more source
Some estimates of Hardy operators and their commutators on Morrey-Herz spaces
, 2017 In this paper, we study the boundedness of p -adic Hardy operators H p and H p,∗ on the p -adic Morrey-Herz space. Furthermore, we establish the Lipschitz estimates for commutators of p -adic Hardy operators H p b and H p,∗ b on the p -adic function ...
G. Gao, Y. Zhong
semanticscholar +1 more source
Adams’ trace principle in Morrey–Lorentz spaces on β-Hausdorff dimensional surfaces [PDF]
Annales Fennici Mathematici, 2019 In this paper we strengthen to Morrey-Lorentz spaces the famous trace principle introduced by Adams. More precisely, we show that Riesz potential Iα is continuous ‖Iα f‖ M λ∗ q,∞(dμ) . ‖μ‖ 1/q β ‖ f‖Mλp,∞(dν) if and only if the Radon measure dμ supported
M. F. Almeida, Lidiane S. M. Lima
semanticscholar +1 more source
Hardy-Littlewood-Pólya inequalities and Hausdorff operators on block spaces
, 2016 We establish the Hardy-Littlewood-Pólya inequality, the Hardy inequality and the Hilbert inequality on block spaces. Furthermore, we also have the boundedness of the Hausdorff operators on block spaces.
K. Ho
semanticscholar +1 more source
Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces
, 2017 On generalized martingale Morrey spaces we give necessary and sufficient conditions for the boundedness of generalized fractional integrals as martingale transforms. Mathematics subject classification (2010): 60G46, 60G42, 46E30, 42B35.
E. Nakai, Gaku Sadasue
semanticscholar +1 more source
Some results for Hausdorff operators
, 2015 In this paper, we give the sufficient conditions for the boundedness of the (fractional) Hausdorff operators on the Lebesgue spaces with power weights. In some special cases, these conditions are the same and also necessary.
G. Gao, Xiao-mei Wu, Weichao Guo
semanticscholar +1 more source