# Science China Mathematics

Science China Mathematics > 1997 > 40 > 1 > 93-104

Science China Mathematics > 1997 > 40 > 1 > 105-112

Science China Mathematics > 1997 > 40 > 1 > 67-75

Science China Mathematics > 1997 > 40 > 1 > 76-82

Science China Mathematics > 1997 > 40 > 1 > 57-66

Science China Mathematics > 1997 > 40 > 1 > 45-56

Science China Mathematics > 1997 > 40 > 1 > 10-23

*K*

^{ n }be the

*n*-dimensional vector space over a local field

*K*. Two maximal multiplier theorems on

*L*

^{ p }(

*K*

^{ n }) are proved for certain multiplier operator sequences associated with regularization and dilation respectively. Consequently the a. e. convergence of such multiplier operator sequences is obtained. This sharpens Taibleson’s main result and applies to several important singular integral operators...

Science China Mathematics > 1997 > 40 > 1 > 24-29

*M*be a

*C*-comodule. It is clear that

*M*and

*C*can both be decomposed into a direct sum of the indecomposable subcoalgebras of

*C*and subcomodules of

*M.*The relation between the two decompositions is given.

Science China Mathematics > 1997 > 40 > 1 > 83-92

Science China Mathematics > 1997 > 40 > 1 > 1-9

*t*) in quasiconformal theory are studied and asymptotically sharp bounds are obtained for ηκ(

*t*), thus proving some properties of the upper bound function

*K*(

*t, r*) in Schottky’s theorem on analytic functions and improving the known explicit bounds for

*K*(

*t, r*).

Science China Mathematics > 1997 > 40 > 1 > 30-36

*N*= ℂℙ

^{n}and

*N*=

*B*

^{ n }(unit ball), both equipped with canonical metric. Thus, the injectivity theorems are established in three cases of objective manifolds, i.e. with different holomorphic sectional curvatures - 1, 0 and 1 respectively.

Science China Mathematics > 1997 > 40 > 1 > 37-44

*N*of measures and supp

*N*is studied; secondly, a necessary and sufficient condition that insures the strong uniform composition convergence of sequence μ

_{n}is presented; thirdly, a more extensive class of semigroups is found,...

Science China Mathematics > 1997 > 40 > 10 > 1036-1044

^{r}(2⩽

*r*⩽∞) diffeomorphisms, the strongly topologically conjugating homeomorphisms near degenerate saddle-nodes will be differentiable on center manifolds of the saddle-nodes.

Science China Mathematics > 1997 > 40 > 10 > 1073-1081

Science China Mathematics > 1997 > 40 > 10 > 1028-1035

*K*- 2mH +

*m*

^{2}+

*l*

^{2}= 0 and solutions of sine-Gordon equations is established.

Science China Mathematics > 1997 > 40 > 10 > 1065-1072

*F*

_{q}on phase space interval is different for the first- and second-order QGP phase transitions. When ln

*F*

_{q}, are fitted to polynomials of

*X*≡δ

^{1/3}, the relative sign between the fitted coefficients of

*X*and

*b*

_{q,1}calculated theoretically can be used to judge the order...

Science China Mathematics > 1997 > 40 > 10 > 1103-1109

Science China Mathematics > 1997 > 40 > 10 > 1045-1051

*x*

_{0}denotes the fundamental solution of

*x*

^{2}−

*Dy*

^{2}=−1, then

*x*

^{2}+1=

*Dy*

^{4}is solvable if and only if

*y*

_{0}=

*A*

^{2}, where A is an integer. Moreover, if ε>64, then

*x*

^{2}+1=

*Dy*

^{4}has at most one positive integral...

Science China Mathematics > 1997 > 40 > 10 > 1009-1015

*F*as an F[

*x, y*]-module is studied. The necessary and sufficient conditions for the modules of doubly periodic arrays to be cyclic are given.

Science China Mathematics > 1997 > 40 > 10 > 1094-1102