Hardy Inequality on Time Scales and Its Application to Half-linear Dynamic Equations
نویسنده
چکیده
One gets more than two hundred papers when searching by the keywords “Hardy” and “inequality” in the review journals Zentralblatt für Mathematik or Mathematical Reviews. Almost half of these publications appeared after 1990. In the absolute majority, these papers deal with various generalizations, extensions and improvements of the wellknown Hardy inequality (HI) presented in monograph [8] (both in the continuous and in the discrete setting), namely, for example, HI in several variables, weighted HI, inequalities of Hardy’s type involving certain transforms and forms, HI involving higher order derivatives, HI on certain manifolds, in various spaces, and many others. Many related topics can be also found when one looks for inequalities involving functions and their integrals and derivatives. Recall that the classical HI in integral form, discovered by Hardy, reads as ∫∞
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