共查询到20条相似文献,搜索用时 31 毫秒
1.
We prove that Stein's extension operator preserves Sobolev–Morrey spaces, that is spaces of functions with weak derivatives in Morrey spaces. The analysis concerns classical and generalized Morrey spaces on bounded and unbounded domains with Lipschitz boundaries in the n‐dimensional Euclidean space. 相似文献
2.
Sobolev‐Jawerth embedding of Triebel‐Lizorkin‐Morrey‐Lorentz spaces and fractional integral operator on Hardy type spaces
下载免费PDF全文
![点击此处可从《Mathematische Nachrichten》网站下载免费的PDF全文](/ch/ext_images/free.gif)
Kwok‐Pun Ho 《Mathematische Nachrichten》2014,287(14-15):1674-1686
A Sobolev type embedding for Triebel‐Lizorkin‐Morrey‐Lorentz spaces is established in this paper. As an application of this result, the boundedness of the fractional integral operator on some generalizations of Hardy spaces such as Hardy‐Morrey spaces and Hardy‐Lorentz spaces are obtained. 相似文献
3.
In this paper, we consider a non‐smooth atomic decomposition by using a smooth atomic decomposition. Applying the non‐smooth atomic decomposition, a local means characterization and a quarkonical decomposition, we obtain a pointwise multiplier and a trace operator for generalized Besov–Morrey spaces and generalized Triebel–Lizorkin–Morrey spaces on the whole space. We also develop the theory of those spaces on domains. We consider an extension operator and a trace operator on the upper half space and on compact oriented Riemannian manifolds. 相似文献
4.
《Mathematische Nachrichten》2017,290(2-3):332-340
This paper discusses the structure of Morrey spaces, weak Morrey spaces, generalized Morrey spaces, and generalized weak Morrey spaces. Some necessary and sufficient conditions for the inclusion property of these spaces are obtained through a norm estimate for the characteristic functions of balls. 相似文献
5.
The boundedness of multilinear singular integrals of Calderón-Zygmund type on product of variable exponent Lebesgue spaces
over both bounded and unbounded domains are obtained. Further more, the boundedness for this type multilinear operators on
product of variable exponent Morrey spaces over domains is shown in the paper. 相似文献
6.
Kwok-Pun HO 《数学物理学报(B辑英文版)》2018,38(1):93-109
We introduce the martingale Morrey spaces built on Banach function spaces. We establish the Doob's inequality, the Burkholder-Gundy inequality and the boundedness of martingale transforms for our martingale Morrey spaces. We also introduce the martingale block spaces. By the Doob's inequality on martingale block spaces, we obtain the Davis' decompositions for martingale Morrey spaces. 相似文献
7.
《Mathematische Nachrichten》2018,291(1):178-186
The main object of this investigation is to study weak Morrey spaces. Block spaces, which are preduals of weak Morrey spaces, are characterized. Besides, the Fatou property of block spaces is proved. Finally, as an application, we study the boundedness of singular integral operators in weak Morrey spaces. 相似文献
8.
《Mathematische Nachrichten》2017,290(1):37-49
We prove that Burenkov's extension operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n‐dimensional Euclidean space. 相似文献
9.
《Mathematische Nachrichten》2018,291(8-9):1283-1296
We discuss discrete Morrey spaces and their generalizations, and we prove necessary and sufficient conditions for the inclusion property among these spaces through an estimate for the characteristic sequences. 相似文献
10.
In this article, the authors characterize the Morrey spaces as well as their preduals via quadratic functions related to the Taylor remainder of the kernel of the Riesz potential. As applications, the authors obtain some strong capacitary inequalities, which are then used to study the regularity of the duality/weak solution to the fractional Laplace equation with measure data. 相似文献
11.
《Mathematische Nachrichten》2018,291(8-9):1437-1449
Based on the theory of variable exponent and BMO norms, we prove some boundedness results for the m‐th order commutators of the fractional integrals on variable exponent Morrey and Morrey–Herz spaces. Even in the special case of , the main results obtained are also new. 相似文献
12.
Shohei Nakamura 《Mathematische Nachrichten》2016,289(17-18):2235-2262
We introduce the notion of generalized weighted Morrey spaces and investigate the boundedness of some operators in these spaces, such as the Hardy–Littlewood maximal operator, generalized fractional maximal operators, generalized fractional integral operators, and singular integral operators. We also study their boundedness in the vector‐valued setting. 相似文献
13.
Marcel Rosenthal 《Mathematische Nachrichten》2013,286(1):59-87
We consider local means with bounded smoothness for Besov‐Morrey and Triebel‐Lizorkin‐Morrey spaces. Based on those we derive characterizations of these spaces in terms of Daubechies, Meyer, Bernstein (spline) and more general r‐regular (father) wavelets, finally in terms of (biorthogonal) wavelets which can serve as molecules and local means, respectively. Hereby both, local means and wavelet decompositions satisfy natural conditions concerning smoothness and cancellation (moment conditions). Moreover, the given representations by wavelets are unique and yield isomorphisms between the considered function spaces and appropriate sequence spaces of wavelet coefficients. These wavelet representations lead to wavelet bases if, and only if, the function spaces coincide with certain classical Besov‐Triebel‐Lizorkin spaces. 相似文献
15.
We will give some conditions for Sobolev spaces on bounded Lipschitz domains to admit only trivial isometries. 相似文献
16.
《数学物理学报(B辑英文版)》2015,(6)
This paper deals with a general class of weighted multilinear Hardy-Cesaro operators that acts on the product of Lebesgue spaces and central Morrey spaces.Their sharp bounds are also obtained.In addition,we obtain sufficient and necessary conditions on weight functions so that the commutators of these weighted multilinear Hardy-Cesaro operators(with symbols in central BMO spaces) are bounded on the product of central Morrey spaces.These results extends known results on multilinear Hardy operators. 相似文献
17.
Yoshihiro Sawano Denny Ivanal Hakim Hendra Gunawan 《Mathematische Nachrichten》2015,288(14-15):1741-1775
In the present paper, we consider the non‐smooth atomic decomposition of generalized Orlicz‐Morrey spaces. The result will be sharper than the existing results. As an application, we consider the boundedness of the bilinear operator, which is called the Olsen inequality nowadays. To obtain a sharp norm estimate, we first investigate their predual space, which is even new, and we make full advantage of the vector‐valued inequality for the Hardy‐Littlewood maximal operator. 相似文献
18.
《Mathematische Nachrichten》2017,290(17-18):2901-2908
We prove weighted estimates for fractional integral operators on central Morrey spaces. Our result covers the weighted theorem by De Napoli, Drelichman and Durán (2011). Our proof is different from theirs. 相似文献
19.
20.
Yohei Tsutsui 《Journal of Fourier Analysis and Applications》2011,17(2):265-289
In this note we establish the sharp maximal inequalities for Herz spaces and Morrey spaces by use of good ??-inequality. As an application, we obtain estimates of some bilinear forms which include usual product of functions and the nonlinear term of Euler and Navier-Stokes equations on Herz spaces and Morrey spaces. 相似文献