Sentence examples for generalized space of from inspiring English sources

The internet as a generalized space of unattached, floating rage?

In this generalized space of solutions the Cauchy problem (3) is written as ∫ t ≥ 0 ∫ R n ( ∂ t d + div x f ( u ) ) γ d V d t = 0 for all  γ ∈ D ( G ).

In the present paper, we intend to continue our study of generalized spaces of type Sobolev associated with the Weinstein operator started in [21].

The aim of this paper is to introduce some generalized spaces of double sequences with the help of the Musielak-Orlicz function M = ( M j k ) and four-dimensional bounded-regular (shortly, RH-regular) matrices A = ( a n m j k ) over n-normed spaces.

Then ( X, Γ ) is a minimal generalized convex space; of course, weknow that ( X, Γ ) is not a generalized convex space [14].

We also introduce the generalized Morrey space of (Llog L) type.

Because of this random structure, position space representation of quantum mechanics breaks down, and therefore a generalized normed space of quasiposition eigenfunction is required.

Because of this random structure, position space representation of quantum mechanics breaks down and so a generalized normed space of quasi-position eigenfunction is required.

It should be noted that the basicity in generalized Lebesgue space of perturbed systems of exponents was considered earlier in [16, 17].

Also by (Wmathcal{M}^{p,varphi}({mathbb{R}^{n}})) we denote the weak generalized Morrey space of all functions (fin WL^{p}_{mathrm{loc}}({mathbb{R}^{n}}) ) for which Vert fVert _{Wmathcal{M}^{p,varphi}} = sup_{x in{mathbb{R}^{n}}, r>0 } varphi x,r)^{-1} biglvert B x,r bigrvert ^{-frac {1}{p}} |f |_{WL^{p} (B x,r))}< infty.

Huang in [9] established the gradient estimates in the generalized Morrey spaces of weak solutions to the linear elliptic systems with VMO coefficients.