The Marcinkiewicz interpolation theorem extends to weighted spaces
Weighted inequalities for monotone and concave functions
Characterizations of weight functions are given for which integral inequalities of monotone and concave functions are satisfied. The constants in these inequalities are sharp and in the case of concave functions, constitute weighted forms of Favard-Berwald inequalities on finite and infinite intervals. Related inequalities, some of Hardy type, are also given.
Modular inequalities for the Hardy averaging operator
If is the Hardy averaging operator - or some of its generalizations, then weighted modular inequalities of the form u (Pf) Cv (f) are established for a general class of functions . Modular inequalities for the two- and higher dimensional Hardy averaging operator are also given.
Weighted inequalities in Fourier analysis
Weighted estimates for classical operators
Exponential inequalities for a class of operators.
Weighted Friedrichs inequalities in amalgams
On some fractional order Hardy inequalities.
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