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In this article we study the problem of finding such finite groups that the modular forms associated with all elements of these groups by means of a certain faithful representation
(Indeed, if the residue class field k has characteristic 0, and hence K ′ /K can only be tamely ramified, the proof of Theorem 2.2 is relatively easy.) Recent work of Lehr and
Ando, Li and Mathias [1] first proposed a mean whose definition for n matrices is based on a limit process involving several geometric means of n − 1 matrices.. Later Bini, Meini
We present a Diaz–Metcalf type operator inequality as a reverse Cauchy–Schwarz inequality and then apply it to get some operator versions of P´ olya–Szeg¨
Although results of Section 3 can be applied only to matrices such that their Hermitian part can be transformed into a strictly diagonally dominant matrix by means of
However in case κ ≤ 0, when f ’s approximate indicator functions of Borel sets, (8.3) turns into an isoperimetric inequality, which is close to, but still a little weaker than
When X and Y are Brownian motions on a Riemannian manifold, Kendall [3] and Cranston [1] constructed a coupling by using the Riemannian geometry of the underlying space.. Their
Ose ¸kowski, Sharp weak type inequalities for differentially subordinated martingales, Bernoulli 15 Vol. Suh, A sharp weak type (p, p) inequality (p > 2) for martingale