Sublinear operators on block-type spaces

Integral operators on local Orlicz-Morrey spaces

“…The results presented in this section are the analogues of the results for the block type spaces obtained in [25]. For completeness, we also give the details for the result presented in this section.…”

Sublinear operators on Herz–Hardy spaces with variable exponents

“…therefore, it applies to sublinear operators. For the studies of sublinear operators on function spaces such as Hardy type spaces, Morrey type spaces, block spaces, Triebel–Lizorkin spaces, Riesz spaces and radial function spaces, see [22–25, 36–38 55, 56]. Theorem Let $$0<q<\infty$$, let $$p(\cdot )\in C^{\log }({ R}^{n})$$ with $$0<p_{-}\le p_{+}<\infty$$ and let $$\alpha (\cdot )\in L^{\infty }({ R}^{n})$$ satisfy (2.3).…”