Fractional, Maximal and Singular Operators in Variable Exponent Lorentz Spaces

Lasha Ephremidze, Vakhtang Kokilashvili, Stefan Samko

We introduce the Lorentz space ${\mathcal{L}}^{p(\cdot ),q(\cdot )}$ with variable exponents $p(t),q(t)$ and prove the boundedness of singular integral and fractional type operators,…