Sublinear operators with rough kernel generated by Calderon-Zygmund operators and their commutators on generalized local Morrey spaces

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Balakishiyev A. S., Guliyev V. S., Gurbuz F., ŞERBETÇİ A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2015, ss.1-18, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2015
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1186/s13660-015-0582-y
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-18
  • Anahtar Kelimeler: sublinear operator, Calderon-Zygmund operator, rough kernel, generalized local Morrey space, commutator, local Campanato space, SINGULAR INTEGRAL-OPERATORS, SUFFICIENT CONDITIONS, DIRICHLET PROBLEM, ELLIPTIC-EQUATIONS, MAXIMAL OPERATOR, BOUNDEDNESS, HARDY
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we will study the boundedness of a large class of sublinear operators with rough kernel T-Omega on the generalized local Morrey spaces LM rho,phi{x0}, for s' <= p, p not equal 1 or p < s, where Omega is an element of L-s(Sn-1) with s > 1 are homogeneous of degree zero. In the case when b is an element of LCp,lambda{x0} is a local Campanato spaces, 1