GAGA for DQ-algebroids
Gagliardo-Nirenberg inequalities in logarithmic spaces
We obtain interpolation inequalities for derivatives: , and their counterparts expressed in Orlicz norms: ||∇f||²(q,α) ≤ C||Φ₁(x,|f|,|∇(2)f|)||(p,β) ||Φ₂(x,|f|,|∇(2)f|)||(r,γ)where is the Orlicz norm relative to the function . The parameters p,q,r,α,β,γ and the Carathéodory functions Φ₁,Φ₂ are supposed to satisfy certain consistency conditions. Some of the classical Gagliardo-Nirenberg inequalities follow as a special case. Gagliardo-Nirenberg inequalities in logarithmic spaces with higher...
Gagliardo-Nirenberg inequalities in weighted Orlicz spaces
We derive inequalities of Gagliardo-Nirenberg type in weighted Orlicz spaces on ℝⁿ, for maximal functions of derivatives and for the derivatives themselves. This is done by an application of pointwise interpolation inequalities obtained previously by the first author and of Muckenhoupt-Bloom-Kerman-type theorems for maximal functions.
Garnir's dream spaces with Hamel bases.
Gâteaux derivative and orthogonality in -classes.
Gâteaux differentiability for functionals of type Orlicz-Lorentz.
Gâteaux differentiable functions are somewhere Fréchet differentiable
Gateaux differentiable norms in Lp.
Gateaux Differentials in Banach Algebras.
Gâteaux smooth partitions of unity on weakly compactly generated Banach spaces
Gauge integrals and series
This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.
Gauss polynomials and the rotation algebra.
Gaussian behaviour and average of marginals for convex bodies.
Gaussian measures on spaces,
Gaussian radon measures on locally convex spaces.
Gaussian random band matrices and operator-valued free probability theory
GB*-Algebras associated with inductive limits of Hilbert spaces
GC-functions
G-continuous frames and coorbit spaces.
Gehring's lemma for metrics and higher integrability of the gradient for minimizers of noncoercive variational functionals
We prove a higher integrability result - similar to Gehring's lemma - for the metric space associated with a family of Lipschitz continuous vector fields by means of sub-unit curves. Applications are given to show the higher integrability of the gradient of minimizers of some noncoercive variational functionals.