The $ p $-Laplace equation is the main prototype for nonlinear elliptic problems and forms a
basis for various applications, such as injection moulding of plastics, nonlinear elasticity …

This book discusses advances in maximal function methods related to Poincaré and
Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's …

In this article, the authors study the Lebesgue point of functions from Hajłasz–Sobolev,
Besov, and Triebel–Lizorkin spaces with generalized smoothness on doubling metric …

We prove endpoint bounds for derivatives of fractional maximal functions with either smooth
convolution kernel or lacunary set of radii in dimensions n≥ 2. We also show that the …

We present a general approach to sparse domination based on single-scale L^ p L p-
improving as a key assumption. The results are formulated in the setting of metric spaces of …

This paper studies smoothing properties of the local fractional maximal operator, which is
defined in a proper subdomain of the Euclidean space. We prove new pointwise estimates …

We study the behavior of averages for functions defined on finite graphs G, in terms of the
Hardy–Littlewood maximal operator M G. We explore the relationship between the geometry …

We study different geometric properties on infinite graphs, related to the weak-type
boundedness of the Hardy–Littlewood maximal averaging operator. In particular, we …

In this paper, weighted endpoint estimates for the Hardy–Littlewood maximal function on the
infinite rooted-ary tree are provided. Motivated by Naor and Tao, the following Fefferman …

MODIFIED HARDY–LITTLEWOOD MAXIMAL OPERATORS ON NONDOUBLING METRIC
MEASURE SPACES Page 1 Annales Academiæ Scientiarum Fennicæ Mathematica Volumen …