Lefschetz trace formulas and explicit formulas in analytic number theory.
MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in this paper to prove other results, which should not continue.
We show that if , then the logarithmically weighted Bergman space is mapped by the Libera operator into the space , while if and , then the Hilbert matrix operator maps into .We show that the Libera operator maps the logarithmically weighted Bloch space , , into itself, while maps into .In Pavlović’s paper (2016) it is shown that maps the logarithmically weighted Hardy-Bloch space , , into . We show that this result is sharp. We also show that maps , , into and...