Multidimensional integral inequalities with homogeneous weights.
New characterizations of asymptotic stability for evolution families on Banach spaces.
Weighted multiplicative integral inequalities.
Carlson type inequalities.
A Sawyer duality principle for radially monotone functions in .
Some multiplicative inequalities for inner products and of the Carlson type.
Weighted multidimensional inequalities for monotone functions
We discuss the characterization of the inequality (RN+ fq u)1/q C (RN+ fp v )1/p, 0<q, p <, for monotone functions and nonnegative weights and and . We prove a new multidimensional integral modular inequality for monotone functions. This inequality generalizes and unifies some recent results in one and several dimensions.
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