Results 41 to 50 of about 1,751 (140)

On inequalities of Kolmogorov type for the functions being analytic in the unit bicircle

open access: yesResearches in Mathematics, 2013
The sharp inequality of Kolmogorov type has been obtained in the space $\mathfrak{B}(U_2)$ for functions of two complex variables analytic in the unit bicircle.
S.B. Vakarchuk, M.B. Vakarchuk
openaire   +2 more sources

Some global Sobolev inequalities related to Kolmogorov-type operators

open access: yesBruno Pini Mathematical Analysis Seminar, 2020
In this note we review a recent result in [17] in collaboration with N. Garofalo, where we establish global versions of Hardy-Littlewood-Sobolev inequalities attached to hypoelliptic equations of Kolmogorov type. The relevant Sobolev spaces are defined through the fractional powers of the operator under consideration.
openaire   +3 more sources

Poster Sessions

open access: yes
HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

Kolmogorov-type inequalities for functions with asymmetric restrictions on the highest derivative

open access: yesResearches in Mathematics
For $k, r\in {\rm \bf N}$, $k<r$; $q\ge 1$, $p>0$; $\alpha, \beta>0$ and for functions $x\in L_{\infty}^r({\rm\bf R})$ inequalities that estimate the norm $\|x_{\pm }^{(k)}\|_{L_q[a,b]}$ on an arbitrary segment $[a,b] \subset {\rm\bf R}$ such that $\;x^{(k)}(a)=x^{(k)}(b)=0$ via a local norm of the function $|||x^{\uparrow \downarrow}|||_p ...
openaire   +3 more sources

Home - About - Disclaimer - Privacy