Processus gaussiens à variation finie
Product rule and chain rule estimates for the Hajłasz gradient on doubling metric measure spaces
We use the Calderón Maximal Function to prove the Kato-Ponce Product Rule Estimate and the Christ-Weinstein Chain Rule Estimate for the Hajłasz gradient on doubling measure metric spaces.
Products and projective limits of function spaces
We introduce a notion of a product and projective limit of function spaces. We show that the Choquet boundary of the product space is the product of Choquet boundaries. Next we show that the product of simplicial spaces is simplicial. We also show that the maximal measures on the product space are exactly those with maximal projections. We show similar characterizations of the Choquet boundary and the space of maximal measures for the projective limit of function spaces under some additional assumptions...
Products of quasi-continuous functions
Products of simply continuous and quasicontinuous functions
Professor Rudolf Gorenflo and his Contribution to Fractional Calculus
MSC 2010: 26A33 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryThis paper presents a brief overview of the life story and professional career of Prof. R. Gorenflo - a well-known mathematician, an expert in the field of Differential and Integral Equations, Numerical Mathematics, Fractional Calculus and Applied Analysis, an interesting conversational partner, an experienced colleague, and a real friend. Especially his role in the modern Fractional Calculus and its applications...
Progress of iteration theory since 1981.
Projectively Solid Sets and an N-dimensional Piccard's Theorem
We discuss functions f : X × Y → Z such that sets of the form f (A × B) have non-empty interiors provided that A and B are non-empty sets of second category and have the Baire property.
Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de
Considering jets, or functions, belonging to some strongly non-quasianalytic Carleman class on compact subsets of , we extend them to the whole space with a loss of Carleman regularity. This loss is related to geometric conditions refining Łojasiewicz’s “regular separation” or Whitney’s “property (P)”.
Proof for A conjecture on general means.
Proof of one optimal inequality for generalized logarithmic, arithmetic, and geometric means.
Proof of the best bounds in Wallis' inequality.
Proofs of three open inequalities with power-exponential functions.
Properties of a new class of recursively defined Baskakov-type operators
By starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators, which is introduced by replacing the binomial coefficients with other coefficients defined recursively by means of two fixed sequences of real numbers. In this paper, we indicate some of their properties, including a decomposition into an expression which depends linearly on the fixed sequences and an estimation of the corresponding order of approximation, in terms of the modulus...
Properties of -smooth mappings with one-dimensional gradient range.
Properties of connected functions in terms of their levels
Properties of functions in an auxiliary spline space.
Properties of functions of generalized bounded variation
Properties of the -smooth functions with nowhere dense gradient range.
Proprietà fini delle funzioni con deformazione limitata ed applicazioni a problemi variazionali