A Korovkin-type theorem in the space of Riemann integrable funciotns.
A Landau-Kolmogorov inequality for Orlicz spaces.
A lifting theorem for locally convex subspaces of
We prove that for every closed locally convex subspace E of and for any continuous linear operator T from to there is a continuous linear operator S from to such that T = QS where Q is the quotient map from to .
A limiting case of the uncertainty principle
A mean ergodic theorem for a contraction semigroup in Lebesgue space
A modular convergence theorem for certain nonlinear integral operators with homogeneous kernel.
A multiplicative embedding inequality in Orlicz--Sobolev spaces.
A multiplier in Besov spaces which is not a multiplier in Lebesgue spaces
A multiplier theorem on weighted Orlicz spaces
A negative result in differentiation theory
A new characterization of the interpolation spaces between L... and L...
A new convexity property that implies a fixed point property for
In this paper we prove a new convexity property for L₁ that resembles uniform convexity. We then develop a general theory that leads from the convexity property through normal structure to a fixed point property, via a theorem of Kirk. Applying this theory to L₁, we get the following type of normal structure: any convex subset of L₁ of positive diameter that is compact for the topology of convergence locally in measure, must have a radius that is smaller than its diameter. Indeed, a stronger result...
A non-existence theorem for translation invariant operators on weighted L...-spaces.
A note on a critical problem with natural growth in the gradient
The paper analyzes the influence on the meaning of natural growth in the gradient of a perturbation by a Hardy potential in some elliptic equations. Indeed, in the case of the Laplacian the natural problem becomes in , on , . This problem is a particular case of problem (2). Notice that is optimal as coefficient and exponent on the right hand side.
A note on Banach algebras that are not isomorphic to a group algebra.
A Note on compactness in Banach spaces.
A note on comprehensive backward biorthogonalization.
A note on fractional integration
A Note on L... Spaces of Harmonic Functions.
A note on Lebesgue spaces