Sentence examples for maximal operators are from inspiring English sources

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]).

It is well known that the one-sided Hardy-Littlewood maximal operators are required in ergodic theory.

Differential forms, the Green's operator, and maximal operators are widely used not only in analysis and partial differential equations, but also in physics; see [2 4, 6 9].

For J-symmetric case, in order to study the J-self-adjoint extensions of J-symmetric differential and difference expressions for which the minimal operators are non-densely defined or the maximal operators are multi-valued, the theory for a J-Hermitian subspace was given in [26] which includes the GKN theorem for a J-Hermitian subspace.

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.

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

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.