  The Local Universe is the most detail studied part of the observable region
of space with the radius R about 100 Mpc. There are two empirical fundamental
cosmological laws directly established from observations in the Local Universe
independently from cosmological theory: first, the Hubble-Humason-Sandage
linear redshift-distance law and second, Carpenter- Karachentsev-deVaucouleurs
density-radius power-law. Review of modern state of these empirical laws and
their cosmological significance is given. Possible theoretical interpretations
of the surprising coexistence of both laws at the spatial scales from 1 Mpc to
100 Mpc are discussed. Comparison of the standard space-expansion explanation
of the cosmological redshift with possible global gravitational redshift model
is given
