4 citations · 4 across the 3 of their papers we have counts for
5 papers
On the constants for multiplication in Sobolev spaces
Carlo Morosi, Livio Pizzocchero
For n > d/2, the Sobolev (Bessel potential) space H^n(R^d, C) is known to be a Banach algebra with its standard norm || ||_n and the pointwise product; so, there is a best constant…
Quantitative functional calculus in Sobolev spaces
Carlo Morosi, Livio Pizzocchero
In the framework of Sobolev (Bessel potential) spaces $H^n(\reali^d, \reali {or} \complessi)$, we consider the nonlinear Nemytskij operator sending a function $x \in \reali^d \maps…
On the expansion of the Kummer function in terms of incomplete Gamma functions
Carlo Morosi, Livio Pizzocchero
The expansion of Kummer's hypergeometric function as a series of incomplete Gamma functions is discussed, for real values of the parameters and of the variable. The error performed…
On the constants in some inequalities for the Sobolev norms and pointwise product
C. Morosi, L. Pizzocchero
We consider the Sobolev norms of the pointwise product of two functions, and estimate from above and below the constants appearing in two related inequalities.
On the constants for some Sobolev imbeddings
C. Morosi, L. Pizzocchero
We consider the imbedding inequality || f ||_{L^r(R^d)} <= S_{r,n,d} || f ||_{H^{n}(R^d)}; H^{n}(R^d) is the Sobolev space (or Bessel potential space) of L^2 type and (integer or f…