\(\mathcal{Q}_K\) spaces of several real variables (Q1725305)

Summary: We introduce a new space, \(\mathcal{Q}_K(\mathbb{R}^n)\) space, of several real variables with nondecreasing functions \(K\). By giving basic properties of the weighted function \(K\), by establishing a Stegenga-type estimate, and by introducing the \(K\)-Carleson measure on \(\mathbb{R}_+^{n + 1}\), we obtain various characterizations of \(\mathcal{Q}_K(\mathbb{R}^n)\) space.