We settle the longstanding problem of establishing pointwise potential estimates for vectorial
solutions u:→ RN to the non-homogeneous p-Laplacean system− div (| Du| p− 2 Du)= µ in⊂ …

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We give a generalization of Dorronsoro's theorem on critical $\mathrm {L}^ p $-Taylor
expansions for $\mathrm {BV}^ k $-maps on $\mathbb {R}^ n $; ie, we characterize …

We connect classical partial regularity theory for elliptic systems to Nonlinear Potential
Theory of possibly degenerate equations. More precisely, we find a potential theoretic …

We solve the problem of characterizing weights on (0,∞) for which the inequality involving
two possibly different general inner weighted means (∫ 0∞(∫ 0 tf⁎(s) m 2 u 2 (s) ds) p 2 m …

We obtain a pointwise description of functions belonging to function spaces with the lattice
property. In particular, it is valid for Banach function spaces provided that the Hardy …

We solve a long-standing open problem in theory of weighted inequalities concerning
iterated Copson operators. We use a constructive approximation method based on a new …

We define a new scale of function spaces governed by a norm‐like functional based on a
combination of a rearrangement‐invariant norm, the elementary maximal function, and …

We characterize a three-weight inequality for an iterated discrete Hardy-type operator. In the
case when the domain space is a weighted space ℓ^ p ℓ p with p ∈ (0, 1 p∈(0, 1, we …

We give a generalization of Dorronsoro's theorem on critical $\mathrm {L}^ p $-Taylor
expansions for $\mathrm {BV}^ k $-maps on $\mathbb {R}^ n $; ie, we characterize …