例句與造句

1. Another famous example is the Hardy Littlewood maximal function, which is only sublinear operator rather than linear.
2. The maximal function of " f " verifies a weak bound analogous to the Hardy Littlewood maximal inequality:
3. However, one can avoid using this lemma by proving the above inequality first for the "'dyadic maximal functions "'
4. The inequality used above to prove pointwise convergence for L " p " function with 1 1 functions by invoking the maximal function.
5. One can also study the centred maximal function, where the supremum is taken just over balls " B " which have centre " x ".
6. It's difficult to find maximal functions in a sentence. 用maximal functions造句挺難的
7. Results of this kind on pointwise convergence are proved more generally below for " L p " functions using the Poisson operators and the Hardy Littlewood maximal function of " f ".
8. One such space " L " log + " L ", which arises in the study of Hardy Littlewood maximal functions, consists of measurable functions " f " such that the integral
9. Since the Hardy Littlewood Maximal Function is trivially bounded from L ^ \ infty to L ^ \ infty, strong boundedness for all p > 1 follows immediately from the weak ( 1, 1 ) estimate and interpolation.
10. Here we use a standard trick involving the maximal function to give a quick proof of Lebesgue differentiation theorem . ( But remember that in the proof of the maximal theorem, we used the Vitali covering lemma . ) Let " f "  " " L " 1 ( "'R " "'n " ) and