Corrigendum to “$\mathbf A_1$-regularity and boundedness of Calderón–Zygmund operators” with some remarks (Studia Math. 221 (2014), 231–247)
Tom 248 / 2019
Studia Mathematica 248 (2019), 217-231
MSC: Primary 46B42, 42B25, 42B20, 46E30, 47B38.
DOI: 10.4064/sm8381-11-2018
Opublikowany online: 17 June 2019
Streszczenie
In this corrigendum the proof is given for the “only if” part of the result that a suitably nondegenerate Calderón–Zygmund operator $T$ is bounded in a Banach lattice $X$ on $\mathbb R^n$ if and only if the Hardy–Littlewood maximal operator $M$ is bounded in both $X$ and $X’$, under the assumption that $X$ has the Fatou property and $X$ is $p$-convex and $q$-concave with some $1 \lt p, q \lt \infty $. The relationship between stronger and weaker nondegeneracy properties is discussed.
