Sentence examples for maximal operator in from inspiring English sources

We exhibit the optimal constant for Sobolev inequalities in Lorentz spaces for a mean oscillation, and its relation with a boundedness of the Hardy Littlewood maximal operator in Sobolev spaces.

In this paper we prove a discrete version of Tanaka's Theorem for the Hardy-Littlewood maximal operator in one dimension, both in the non-centered and centered cases.

Furthermore, we obtain the boundedness of the maximal operator in the local Morrey-Lorentz spaces.

In Section 4 we prove the boundedness of the maximal operator in M p, q ; λ loc ( R n ).

In order to define the space H p ( C n ) associated with 'twisted convolution', we first define the following version maximal operator in terms of twisted convolutions.

In the present paper, we take up some relations between the generalized fractional integral operator and the generalized fractional maximal operator in the framework of the Morrey spaces (Theorem 1.2).

In this paper we investigate some questions related to the continuity of maximal operators in W1,1 and BV spaces, complementing some well-known boundedness results.

We shall imbed these two maximal operators in the family of operators associated to the hypersurfaces {(x1,x2,αx1x2)} in the Heisenberg group H1 where the exceptional blow up in N occurs when α="0.

Let,,, be a smooth differential form satisfying the -harmonic equation (1.10) in convex domain, the sharp maximal operator defined in (1.18), and G Green's operator.

Let,,, be a smooth differential form in a bounded domain, the sharp maximal operator defined in (1.18), and the Green's operator.

Let be the Hardy-Littlewood maximal operator defined in (1.9) and let,,, be a differential form in a domain.