Results 61 to 70 of about 5,117,857 (222)
Annales Academiae Scientiarum Fennicae Mathematica, 2013 Let \(K:[0,\infty)\to [0,\infty)\) be a right-continuous nondecreasing function. The space \(Q_K\) consists of the holomorphic functions \(f\) in the unit disk \(\mathbb{D}\) such that \[ \|f\|_K^2 = \sup_{a\in\mathbb{D}} \int_{\mathbb{D}} |f^\prime(z)|^2 K(g(z,a))\, \mathrm{d}A(z) \frac{1}{2}\), and \(K\)-Carleson measures. If \(\alpha\) is a positive
Wulan, Hasi, Zhou, Jizhen
openaire +2 more sources
Proper Inclusion Between Vanishing Morrey Spaces and Morrey Spaces
Tensor: Pure and Applied Mathematics Journal, 2021 In this paper, we give an explicit function which belongs to the Morrey spaces but not in the vanishing Morrey spaces. Therefore, we obtain that the Morrey spaces contain the vanishing Morrey spaces properly.
openaire +1 more source
Martingale Morrey-Campanato Spaces and Fractional Integrals
Journal of Function Spaces and Applications, 2012 We introduce Morrey-Campanato spaces of martingales and give their basic properties. Our definition of martingale Morrey-Campanato spaces is different from martingale Lipschitz spaces introduced by Weisz, while Campanato spaces contain Lipschitz spaces ...
Eiichi Nakai, Gaku Sadasue
doaj +1 more source
Sufficient conditions for the precompactness of sets in Local Morrey-type spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we give sufficient conditions for the pre-compactness of sets in local Morrey-type spaces LMpθ,w(·)(Rn). For w(r) = r−λ, θ = ∞, 0 ≤ λ ≤ np there follows a known result for the Morrey spacesMλp (Rn). In the case λ = 0 this is the well-known
D.T. Matin +2 more
doaj +1 more source
A note on boundedness of operators in Grand Grand Morrey spaces
, 2011 In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the ...
A Almeida +15 more
core +1 more source
Journal of Applied Analysis & ComputationWe investigate the boundedness and compactness of Riemann-Liouville integral operators on Morrey spaces, a class of nonseparable function spaces. Instead of adopting dual or maximal viewpoints in integrable function spaces, our approach is based on the ...
Jinxia Wu +4 more
semanticscholar +1 more source
Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces
Journal of Function Spaces, 2021 In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents M
Amjad Hussain +3 more
semanticscholar +1 more source
Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
doaj +1 more source
On some extrapolation in generalized grand Morrey spaces with applications to PDEs
Electronic Research ArchiveRubio de Francia's extrapolation in generalized grand Morrey spaces is derived. This result is applied to the investigation of the regularity of solutions for the second order partial differential equations with discontinuous coefficients in the ...
Eteri Gordadze +2 more
semanticscholar +1 more source