We detail an example which shows that the Pivotal Conditions are not necessary for boundedness of the Hilbert transform.
There is a range of side conditions, termed Energy Conditions; at one endpoint, the Energy Conditions are also a consequence of the testing conditions above, and at the other endpoint they are the Pivotal Conditions of Nazarov, Treil and Volberg.
Systemic microvascular endothelial cells are particularly relevant, since in critically ill patients (who are most frequently exposed to hyperoxia during mechanical ventilation) microvascular dysfunction plays a pivotal role in conditions such as sepsis, trauma, and ischemia/reperfusion injury.
But 11 wickets in the match from Stuart Broad - including career-best figures of 7-72 in the first innings - in partnership with England's newly crowned player of the year Jimmy Anderson proved pivotal in unhelpful conditions for pace bowlers.
Recent studies have shown that obesity, insulin resistance and atherosclerosis are closely related phenomena in which low-grade inflammatory state and prothrombotic condition has pivotal roles.
Despite the rarity of conditions, 13/14 pivotal studies were randomized controlled trials.
Because of the inherent complexity of the genetic perturbation represented by Ts21, the availability of animal models that replicate some aspects of the condition has been pivotal to obtaining an increased understanding of the neurophysiological outcomes of trisomy.
The field can be irrigated at pivotal growth stages under dry conditions to obtain the optimal effect in improving WUE and increasing grain yield.
In conclusion, imaging-guided chest biopsy is an interventional procedure of pivotal importance for several clinical conditions of pneumological, oncological and surgical interest.
