A variety of linear generalizations of Gronwall's inequality, including recent multivariable results of D. R. Snow and E. C. Young, are subsumed and extended by simple arguments involving the ...
We generalize a result of Kelly [17] to the setting of Ahlfors Q-regular metric measure spaces supporting a 1-Poincaré inequality. It is shown that if X and Y are two Ahlfors Q-regular spaces ...
This field investigates the relationships and bounds between various function norms, particularly through inequalities that characterise the smoothness and approximability of functions, as well as the ...