Given any elliptic system with t-independent coefficients in the upper-half space, we obtain
representation and trace for the conormal gradient of solutions in the natural classes for the …

Originally conceived to be the final volume of a trilogy on Analysis in Banach spaces,
containing the applications of the infrastructure of Volumes I–II to Harmonic and Stochastic …

For elliptic systems with block structure in the upper half-space and t-independent
coefficients, we settle the study of boundary value problems by proving compatible well …

This paper concerns Hodge–Dirac operators D= d+ δ acting in L p (Ω, Λ) where Ω is a
bounded open subset of R n satisfying some kind of Lipschitz condition, Λ is the exterior …

Peral/Miyachi's celebrated theorem on fixed time $ L^{p} $ estimates with loss of derivatives
for the wave equation states that the operator $(I-\Delta)^{-\frac {\alpha}{2}}\exp (i\sqrt …

On a doubling metric measure space (M, d, µ) endowed with a “carré du champ”, let 多 be
the associated Markov generator and Lp α (M, 多, µ) the corresponding homogeneous …

Weighted quadratic estimates are proved for certain bisectorial firstorder differential
operators with bounded measurable coefficients which are (not necessarily pointwise) …

We consider a class of non-doubling manifolds M that are the connected sum of a finite
number of N-dimensional manifolds of the form R ni× M i. Following on from the work of …

In this paper, we establish L p boundedness properties for maximal operators, Littlewood–
Paley functions and variation operators involving Poisson semigroups and resolvent …

We introduce a notion of Ricci curvature lower bound for symmetric sub-Markovian
semigroups. We use this notion to investigate functional calculus of the Hodge-Dirac …