Abstract By using the technique of weighted inequalities,local Ar(λ1,λ2;Ω)-weighted weakly reverse Hlder inequality for A-harmonic tensors is proved.

In this paper, we first introduce a new weight-A_r~(λ_3)(λ_1, λ_2, Ω)-weight, and then prove the two-weight Caccioppoli-type estimates and the two-weight weak reverse Holder inequalities for A-harmonic tensors, which can be regarded as generalizations of the classical results.

Specif-ically speaking, we study the Poincaréinequality for the general differential forms andthe Poincaréinequality for a special differential formΩA-harmonic tensor.

A local Aλ_r (Ω)-weighted Hardy-Littlewood inequality for differential forms satisfying the A-harmonic tensors is proved.

In this paper we first prove an Ar(λ,Ω)-weighted Caccioppoli-type inequality for A-harmonic tensors.

Tidal harmonic analysis and prediction system;

Tide separation from the altimetry data using harmonic analysis method;

Based on 1 month of tidal data observed at the Tuandao and Xuejiadao, we obtained the harmonic constants of the M 2,S 2,O 1 and K 1 components by using a harmonic analysis method and developed a model for predicting the tidal currents in the Jiaozhou Bay.

Based on the conventional tidal harmonious analysis method (that is, an equal interval least square method), this paper has developed a new method for the calculation of tidal harmonious constant using high and low tide data.

Definitions of hyper-planar symmetry transformation and central symmetry transformation in projective space Pn are given based on infinite far point, harmonic division and projective transformation.

Through study,the property is found out that planes cutting edgewise quadric curve and quadric intersections from the quadric surfaces become the harmonic division.