THE DIRICHLET PROBLEM IN A CLASS OF GENERALIZED WEIGHTED MORREY SPACES

被引：0
|
作者：
Guliyev, Vagif S. [1 ,2 ]
Omarova, Mehriban N. [2 ,3 ]
Softova, Lubomira [4 ]
机构：
[1] Dumlupinar Univ, Dept Math, TR-43100 Kutahya, Turkey
[2] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan
[3] Baku State Univ, AZ-1148 Baku, Azerbaijan
[4] Univ Salerno, Dept Math, Fisciano, Italy
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2019年 / 45卷 / 02期
关键词：
Generalized weighted Morrey spaces; Muckenhoupt weight; sublinear integrals; Calderon-Zygmund integrals; commutators; BMO; VMO; elliptic equations; Dirichlet problem; NONDIVERGENCE ELLIPTIC-EQUATIONS; SUBLINEAR-OPERATORS; COMMUTATORS; REGULARITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show continuity in generalized weighted Morrey spaces M-p,M-phi(w) of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators with discontinuous data.
引用
收藏
页码：270 / 285
页数：16
相关论文
共 50 条
  • [1] THE DIRICHLET PROBLEM FOR THE UNIFORMLY ELLIPTIC EQUATION IN GENERALIZED WEIGHTED MORREY SPACES
    Gadjiev, Tahir S.
    Culiyev, Vacif S.
    Suleymanova, Konul C.
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2020, 57 (01) : 68 - 90
  • [2] On some qualitative results for the solution to a Dirichlet problem in Local Generalized Morrey Spaces
    Scapellato, Andrea
    ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES, 2017, 1798
  • [3] GENERALIZED WEIGHTED MORREY SPACES ON RD-SPACES
    Chou, Jiahui
    Li, Xue
    Tong, Yan
    Lin, Haibo
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (04) : 1277 - 1293
  • [4] GENERALIZED STUMMEL CLASS AND MORREY SPACES
    Gunawan, Hendra
    Nakai, Eiichi
    Sawano, Yoshihiro
    Tanaka, Hitoshi
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2012, 92 (106): : 127 - 138
  • [5] Integral Operator Acting on Weighted Dirichlet Spaces to Morrey Type Spaces
    Yang, Liu
    FILOMAT, 2019, 33 (12) : 3723 - 3736
  • [6] Sublinear operators in generalized weighted Morrey spaces
    Kokilashvili, V.
    Meskhi, A.
    Rafeiro, H.
    DOKLADY MATHEMATICS, 2016, 94 (02) : 558 - 560
  • [7] Sublinear operators in generalized weighted Morrey spaces
    V. Kokilashvili
    A. Meskhi
    H. Rafeiro
    Doklady Mathematics, 2016, 94 : 558 - 560
  • [8] Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces
    Guliyev, Vagif S.
    Omarova, Mehriban N.
    OPEN MATHEMATICS, 2016, 14 : 49 - 61
  • [9] Generalized weighted Morrey spaces and classical operators
    Nakamura, Shohei
    MATHEMATISCHE NACHRICHTEN, 2016, 289 (17-18) : 2235 - 2262
  • [10] Grand Generalized Weighted Morrey Spaces for RD-Spaces
    Guanghui LU
    Journal of Mathematical Research with Applications, 2023, 43 (04) : 457 - 466
12345