126 papers
This paper establishes a comprehensive well-posedness theory for parabolic Cauchy problems with time-independent, uniformly elliptic, bounded measurable complex coefficients, demonstrating that tempered distributions in homogeneous Hardy–Sobolev or Besov spaces serve as valid initial data for weak solutions with gradients in weighted tent spaces when source terms are of Lions' type.
This paper extends Bobkov and Chistyakov's upper bounds on concentration functions to a multivariate entropic setting using pointwise density estimates, thereby deriving sharp bounds on the volumes of noncentral sections of isotropic convex bodies.
This paper introduces an axiomatic framework for allocation mechanisms in decentralized exchange markets that account for frictional transfer costs, characterizing robust linear mechanisms and "Robust Conditional Mean" mechanisms while linking them to literature on decentralized risk sharing.
This paper characterizes the optimal rearrangement-invariant function norm on the left-hand side of the th order Sobolev inequality in -dimensional hyperbolic space for $1 \leq m < nm \geq 3$.
This paper establishes the equality of the vanishing subspaces and within the John-Nirenberg spaces by demonstrating the decay of specific Morrey-type integrals, while also proving that coincides with modulo constants.
This paper establishes a new characterization of continuous embeddings between generalized weighted Lorentz spaces under the condition by introducing a novel discretization technique that eliminates previous restrictions on parameters and weights imposed by duality-based methods.