F Gulruh Gurbuz

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It is well known that, for the purpose of researching non-smoothness partial differential equation, mathematicians pay more attention to the singular integrals with rough kernel. Moreover, the fractional type operators and their weighted boundedness theory play important roles in harmonic analysis and other fields, and the multilinear operators arise in(More)
Let L = −∆ + V (x) be a Schrödinger operator, where ∆ is the Laplacian on R, while nonnegative potential V (x) belonging to the reverse Hölder class. We establish the boundedness of the commutators of Marcinkiewicz integrals with rough kernel associated with schrödinger operator on vanishing generalized Morrey spaces.
Given the salience of the interplay between trust and power relations in organizational settings, this paper examines the perceptions of social power and its effects on trust in supervisors within the context of public hospitals. Following the theoretical background from which the study model is developed, the recent situation of hospitals within Turkish(More)
In this paper, we are interested in the boundedness of sublinear operators with rough kernel generated by Calderón–Zygmund operators on generalized vanishing Morrey spaces and give bounded mean oscillation space estimates for their commutators on these spaces. Received: 27–July–2016 Accepted: 29–August–2016
In this paper, we consider the norm inequalities for sublinear operators with rough kernel generated by fractional integrals and their commutators on generalized Morrey spaces and on generalized vanishing Morrey spaces including their weak versions under generic size conditions which are satisfied by most of the operators in harmonic analysis, respectively.(More)
In this paper we consider the Spanne type boundedness of sublinear operators and prove the Adams type boundedness theorems for these operators and also give BMO (bounded mean oscillation space) estimates for their commutators in generalized Morrey spaces on Heisenberg groups. The boundedness conditions are formulated in terms of Zygmund type integral(More)
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