Boundedness of hardy-littlewood maximal operator in the framework of lizorkin-triebel spaces

By S. Korry. 2002

56 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On approximate differentiability of the maximal function (2010, background): “Let us also mention that the result of Kinnunen [10] has been applied and generalized by many authors ([2], [3], [6], [7], [8], [11], [12], [14], [15], [16], [17], [18], [20], [21], [25]).”
ON BOUNDEDNESS OF MAXIMAL FUNCTIONS IN SOBOLEV SPACES (2004, methodology): “The result of Kinnunen has been employed and generalized in [3], [8], [9], [10], [11], [12], [13] and [18].”
On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn (2010, background): “(3.11) As we have already mentioned (see (3.2)), Korry proved that ‖φ(t)Mft,h‖p,(0,1) = ‖M(φ(t)ft,h)‖p,(0,1) C‖φ(t)ft,h‖p,(0,1) = C‖Sf‖p,(0,1).”