Sentence examples for maximal operator is from inspiring English sources

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

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

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).

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

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

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

Another way to extend the regularity theory of maximal operators is to study its behavior on different differentiable function spaces, such as fractional Sobolev spaces, Triebel Lizorkin spaces, Besov spaces and so on.

In addition, the (L^{p}) bounds for the related maximal operators are also given.

For example, Hardy operators, Hardy-Littlewood maximal operators, fractional integral operators, fractional maximal operators are admissible on ℝ (see [31]).