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The one-sided minimal operator and the one-sided reverse Holder inequality

100%

Cruz-Uribe D., SFO, Neugebauer C. J., Olesen V.

Studia Mathematica

1995

tom 116

nr 3

255-270

We introduce the one-sided minimal operator, $m^+f$, which is analogous to the one-sided maximal operator. We determine the weight classes which govern its two-weight, strong and weak-type norm inequalities, and show that these two classes are the same. Then in the one-weight case we use this class to introduce a new one-sided reverse Hölder inequality which has several applications to one-sided $(A^+_p)$ weights.

Weighted inequalities for monotone and concave functions

75%

Heinig H., Maligranda L.

Studia Mathematica

1995

tom 116

nr 2

133-165

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.

Ograniczanie wyników

2 Studia Mathematica

1 Cruz-Uribe D.

1 Heinig H.

1 Maligranda L.

1 Neugebauer C. J.

1 Olesen V.

1 SFO

2 1995

Wyniki wyszukiwania

The one-sided minimal operator and the one-sided reverse Holder inequality

Weighted inequalities for monotone and concave functions