Nonlinear singular integral inequalities for functions in two and independent variables.
Nonlinear Volterra integral equations in Henstock integrability setting.
Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds
Let G be a real connected Lie group with polynomial volume growth endowed with its Haar measuredx. Given a C² positive bounded integrable function M on G, we give a sufficient condition for an L² Poincaré inequality with respect to the measure M(x)dx to hold on G. We then establish a nonlocal Poincaré inequality on G with respect to M(x)dx. We also give analogous Poincaré inequalities on Riemannian manifolds and deal with the case of Hardy inequalities.
Nonnegativity of uncertain polynomials.
Non-parametric convex hypersurfaces with a curvature restriction
Nonparametric recursive aggregation process
In this work we introduce a nonparametric recursive aggregation process called Multilayer Aggregation (MLA). The name refers to the fact that at each step the results from the previous one are aggregated and thus, before the final result is derived, the initial values are subjected to several layers of aggregation. Most of the conventional aggregation operators, as for instance weighted mean, combine numerical values according to a vector of weights (parameters). Alternatively, the MLA operators...
Non-Standard Analysis And Generalized Functions.
Nonstandard analysis and generalized Riemann integrals
Non-standard analysis and homology
Nonstandard analysis and the theory of shape
Non-standard characterisations of ideals in C(X).
Nonstandard methods for Navier-Stokes equations
“Non-strict" L'Hospital-Type rules for monotonicity: intervals of constancy.
Non-transitive points and porosity
We establish that for a fairly general class of topologically transitive dynamical systems, the set of non-transitive points is very small when the rate of transitivity is very high. The notion of smallness that we consider here is that of σ-porosity, and in particular we show that the set of non-transitive points is σ-porous for any subshift that is a factor of a transitive subshift of finite type, and for the tent map of [0,1]. The result extends to some finite-to-one factor systems. We also show...
Nonwhere differentiable solutions of a system of functional equations. (Summary).
Norm comparison inequalities for the composite operator.
Norm estimates for Bessel-Riesz operators on generalized Morrey spaces
We revisit the properties of Bessel-Riesz operators and present a different proof of the boundedness of these operators on generalized Morrey spaces. We also obtain an estimate for the norm of these operators on generalized Morrey spaces in terms of the norm of their kernels on an associated Morrey space. As a consequence of our results, we reprove the boundedness of fractional integral operators on generalized Morrey spaces, especially of exponent , and obtain a new estimate for their norm.
Norm inequalities for integral operators on cones
Norm inequalities in weighted amalgam
Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.
Normal bases of rings of continuous functions constructed with the (qₙ)-digit principle