We study the John-Nirenberg space $JN_p$, which is a generalization of bounded mean oscillation. In this paper we construct new $JN_p$ functions, that increase understanding function space. It already known $L^p(Q_0) \subsetneq JN_p(Q_0) L^{p,\infty}(Q_0)$. show if $|f|^{1/p} \in JN_p(Q_0)$, then $|f|^{1/q} JN_q(Q_0)$, where $q \geq p$, but there exists nonnegative $f$ such $f^{1/p} \notin JN_p...

conclusions this study revealed that the administration of 600 μg of intravenous se immediately before induction of anesthesia was safe, but when compared to a placebo, no predominant clinical effects or modifications in the systemic inflammatory response induced by on-pump cabg were observed. results data from a total of 81 patients were analyzed: group s (n = 41) and group c (n = 40). there w...

Suppose that p,q,r≥1 satisfy the condition 1 p=1 q+1 r. The paper contains identification of best constants cp,q,r and Cp,q,r in estimates ‖g‖p,∞≤cp,q,r‖f‖q‖v∗‖ r,‖g‖p≤Cp,q,r‖f‖q‖v∗‖ r where f is an arbitrary Hilbert-space valued martingale, g its transform by a predictable sequence v, v∗ maximal function v. This extended to more general context differential subordination for continuous-time pr...

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