Results 71 to 80 of about 9,316 (195)

Sobolev Embedding Theorem for the Sobolev-Morrey spaces

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev ...
V.I. Burenkov, N.A. Kydyrmina
doaj  

Grand Triebel–Lizorkin–Bourgain–Morrey spaces: Nontriviality, embeddings, and boundedness of certain operators

Bulletin of Mathematical Sciences
Let [Formula: see text], [Formula: see text], and [Formula: see text] denote the Triebel–Lizorkin–Bourgain–Morrey space, whose special case was originally introduced by Bourgain.
Yangningrui Wan, Dachun Yang, Yirui Zhao
doaj   +1 more source

Vector-valued multilinear singular integrals with nonsmooth kernels and commutators on generalized weighted Morrey space

Journal of Inequalities and Applications, 2020
In this paper, we prove weighted norm inequalities for vector-valued multilinear singular integrals with nonsmooth kernels and commutators on generalized weighted Morrey space.
Nan Zhao, Jiang Zhou
doaj   +1 more source

Boundedness for the Modified Fractional Integral Operator from Mixed Morrey Spaces to the Bounded Mean Oscillation Space and Lipschitz Spaces

Journal of Function Spaces, 2022
In this paper, we establish the boundedness of the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces, respectively.
Mingquan Wei, Lanyin Sun
doaj   +1 more source

MORREY SPACES AND FRACTIONAL OPERATORS [PDF]

Journal of the Australian Mathematical Society, 2010
AbstractThe relation between the fractional integral operator and the fractional maximal operator is investigated in the framework of Morrey spaces. Applications to the Fefferman–Phong and the Olsen inequalities are also included.
openaire   +1 more source

Partial regularity for variational integrals with Morrey–Hölder zero‐order terms, and the limit exponent in Massari's regularity theorem

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We revisit the partial C1,α$\mathrm{C}^{1,\alpha }$ regularity theory for minimizers of non‐parametric integrals with emphasis on sharp dependence of the Hölder exponent α$\alpha$ on structural assumptions for general zero‐order terms. A particular case of our conclusions carries over to the parametric setting of Massari's regularity theorem ...
Thomas Schmidt, Jule Helena Schütt
wiley   +1 more source

Generalized Non-Homogeneous Morrey Spaces And Olsen Inequality [PDF]

, 2008
In this paper, we shall discuss some properties of generalized non-homogeneous Morrey spaces. In addition, we will also prove the Olsen inequality in the non-homogeneous setting.
H. Gunawan, ., I. Sihwaningrum, ., W. S. Budhi, ., Y. Soeharyadi, .   +3 more
core  

Embedding from Discrete Morrey Spaces to Continuous Morrey Spaces

ITM Web of Conferences
In this paper, we present an embedding from discrete Morrey spaces to continuous Morrey Spaces which can be seen as a refinement of the result in [1]. We obtain the result by using a different norm on discrete Morrey spaces, which is equivalent to the existing norm.
Runtunuwu Yohanes Imanuel, Gunawan Hendra   +1 more
openaire   +2 more sources

Decomposition of Hardy–Morrey spaces

Journal of Mathematical Analysis and Applications, 2009
Let \(M^p_q\), \(0< q\leq p 0}|B(x,R)|^{1/p- 1/q}\| f\|_{L^q(B(x,R))}
Jia, Houyu, Wang, Henggeng
openaire   +2 more sources