Results 71 to 80 of about 9,211 (193)

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  

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

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

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

The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces

Cauchy: Jurnal Matematika Murni dan Aplikasi
The small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces ...
Rizky Aziz Syaifudin, Corina Karim, Marjono Marjono, Hairur Rahman   +3 more
doaj   +1 more source

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

Journal of Function Spaces, 2015
We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} and generalized Morrey spaces Mp,φ. We find conditions on the triple (φ1,φ2,ρ) which ensure the Spanne-type boundedness
V. S. Guliyev, A. F. Ismayilova, A. Kucukaslan, A. Serbetci   +3 more
doaj   +1 more source

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

Capsule release surgery temporarily reduces contracture in a rat elbow model of arthrofibrosis

Journal of Orthopaedic Research, Volume 43, Issue 1, Page 23-36, January 2025.
Abstract Elbow trauma can lead to joint contracture and reduced range of motion (ROM). Nonsurgical interventions can improve ROM, but in some cases capsule release surgery is required. Although surgery can improve ROM, it often does not restore full ROM. Thus, alternatives are needed.
Austin J. Scholp, Jordan A. Jensen, Timothy P. Fowler, Emily Petersen, Douglas Fredericks, Aliasger K. Salem, Dongrim Seol, Mitchell Coleman, Spencer P. Lake, James A. Martin, Edward A. Sander   +10 more
wiley   +1 more source

Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation

Journal of Function Spaces, 2017
Karamata regular variation is a basic tool in stochastic process and the boundary blow-up problems for partial differential equations (PDEs). Morrey space is closely related to study of the regularity of solutions to elliptic PDEs.
Jiajia Wang, Zunwei Fu, Shaoguang Shi, Ling Mi   +3 more
doaj   +1 more source