Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: differences

Sortuj według:

Ogranicz wyniki do:

Mapping properties of integral averaging operators

100%

P. Heinig H., Sinnamon G.

Studia Mathematica

1998

tom 129

nr 2

157-177

Characterizations are obtained for those pairs of weight functions u and v for which the operators $Tf(x) = ʃ_{a(x)}^{b(x)} f(t)dt$ with a and b certain non-negative functions are bounded from $L^p_u(0,∞)$ to $L^q_v(0,∞)$, 0 < p,q < ∞, p≥ 1. Sufficient conditions are given for T to be bounded on the cones of monotone functions. The results are applied to give a weighted inequality comparing differences and derivatives as well as a weight characterization for the Steklov operator.

Ograniczanie wyników

1 Studia Mathematica

1 P. Heinig H.

1 Sinnamon G.

1 1998

Wyniki wyszukiwania

Mapping properties of integral averaging operators