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Onθ-commutators and the corresponding non-commuting graphs

100%

Shalchi S., Erfanian A., Farrokhi DG M.

Open Mathematics

2017

tom 15

nr 1

1530-1538

The θ-commutators of elements of a group with respect to an automorphism are introduced and their properties are investigated. Also, corresponding to θ-commutators, we define the θ-non-commuting graphs of groups and study their correlations with other notions. Furthermore, we study independent sets in θ-non-commuting graphs, which enable us to evaluate the chromatic number of such graphs.

Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces

86%

Gurbuz F.

Open Mathematics

2016

tom 14

nr 1

300-323

In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator which satisfies the conditions of these theorems can be considered as an example.

Ograniczanie wyników

2 Open Mathematics

1 Erfanian A.

1 Farrokhi DG M.

1 Gurbuz F.

1 Shalchi S.

1 2017

1 2016

Wyniki wyszukiwania

Onθ-commutators and the corresponding non-commuting graphs

Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces