Sentence examples for maximal operator was from inspiring English sources

The following grand maximal operator was introduced by Tolsa in [11].

Namely, the maximal operator is of strong type (p,p) if p>1 and 22+α

Moreover, Hytönen Pérez type one-weight norm estimate for Doobʼs maximal operator is obtained by the use of our two-weight characterization.

When Hardy Littlewood maximal operator is bounded on Lp(Rn) space we prove [Lp(Rn),BMO(Rn)]θ="Lq(Rn) where q= p/(1−θ) and [Lp(Rn),H1(Rn)]θ="Lq(Rn) where 1/q="θ+(1−θ)/p.

Now that, the maximal operator is -bounded.

The Hardy-Littlewood maximal operator is defined on by (2.24).

The sharp maximal operator is an analogue of the Hardy-Littlewood maximal operator, which satisfies.

For the classical fractional integral operator and the classical fractional maximal operator are given by (1.1).

Then p ∈ B , that is, the Hardy-Littlewood maximal operator is bounded on L p.

For any locally -integrable form, the Hardy-Littlewood maximal operator is defined by.

For any locally -integrable form, the Hardy-Littlewood maximal operator is defined by (1.17).