12 citations · 30 across the 12 of their papers we have counts for
5 papers · 1 filter
Generalized almost periodic and generalized asymptotically almost periodic type functions in Lebesgue spaces with variable exponents
Toka Diagana, Marko Kostić
In the paper under review, we introduce the notions of various types of generalized (asymptotical) almost periodicity with variable exponents. We define and thoroughly analyze an i…
Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents
Toka Diagana, Marko Kostić
The paper introduces and studies the class of (asymptotically) Stepanov almost automorphic functions with variable exponents. Any function belonging this class needs to be (asympto…
Doubly-Weighted Pseudo-Almost Periodic Functions
Toka Diagana
We introduce and study a new concept called doubly-weighted pseudo-almost periodicity, which generalizes the notion of weighted pseudo-almost periodicity due to Diagana. Properties…
Square Root Problem of Kato for the Sum of Operators
Toka Diagana
This paper is concerned with the square root problem of Kato for the "sum" of linear operators in a Hilbert space . Under suitable assumptions, we show that if and…
Algebraic Sum of Unbounded Normal Operators and the Square Root Problem of Kato
Toka Diagana
We prove that the algebraic sum of unbounded normal operators satisfies the square root problem of Kato under appropriate hypotheses. As application, we consider perturbed Schrodin…