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New equivalence theorems for weighted inequalities involving the composition of monotone quasilinear operators with the Hardy and Copson operators and their applications
Rza Mustafayev, Merve Yılmaz
In this paper, new equivalence theorems for the boundedness of the composition of a quasilinear operator with the Hardy and Copson operators in weighted Lebesgue spaces are pro…
Another approach to weighted inequalities for a superposition of Copson and Hardy operators
Rza Mustafayev, Merve Yılmaz
In this paper, we present a solution to the inequality $$ \bigg( \int_0^{\infty} \bigg( \int_x^{\infty} \bigg( \int_0^t h \bigg)^q w(t)\,dt \bigg)^{r / q} u(x)\,ds \bigg)^{1/r}\leq…
Norms of maximal functions between generalized and classical Lorentz spaces
Rza Mustafayev, Nevin Bilgiçli, Merve Yılmaz
In this paper we calculate the norm of the generalized maximal operator , defined with and functions for al…
On some restricted inequalities for the iterated Hardy-type operator involving suprema and their applications
Rza Mustafayev, Nevin Bilgiçli, Merve Yılmaz
In this paper we characterize the inequality \begin{equation*} \bigg( \int_0^{\infty} \bigg( \int_0^x \big[ T_{u,b}f^* (t)\big]^r\,dt\bigg)^{\frac{q}{r}} w(x)\,dx\bigg)^{\frac{1}{q…