SOME GEOMETRIC PROPERTIES OF WEIGHTED LEBESGUE SPACES L-w(p)(G)

WOS: 000456892600004In this paper, we deal with some geometric properties of weighted Lebesgue spaces L-w(p) (G), where G is locally compact Abelian group and w is a Beurling weight. Also, we study the uniformly convexity of the space L-p(G) boolean AND L-r (G) with 1 < p, r < infinity

ON NEW CESARO-ORLICZ DOUBLE DIFFERENCE SEQUENCE SPACE

The aim of this paper is to introduce the Cesaro-Orlicz double difference sequence space Ces_M^{(2)}(△, p). We study some topological properties of this space and give some inclusion relation

Exploration of S-wave velocity profiles at strong motion stations in Eskisehir, Turkey, using microtremor phase velocity and S-wave amplification

We have explored 1D S-wave velocity profiles of shallow and deep soil layers over a basement at strong motion stations in Eskisehir Province, Turkey. Microtremor array explorations were conducted at eight strong motion stations in the area to know shallow 1D S-wave velocity models. Rayleigh wave phase velocity at a frequency range from 3 to 30 Hz was estimated with the spatial autocorrelation analysis of array records of vertical microtremors at each station. Individual phase velocity was inverted to a shallow S-wave velocity profile. Low-velocity layers were identified at the stations in the basin. Site amplification factors from S-wave parts of earthquake records that had been estimated at the strong motion stations by Yamanaka et al. (2017) were inverted to the S-wave velocities and Q-values of the sedimentary layers. The depths to the basement with an S-wave velocity of 2.2 km/s are about 1 km in the central part of the basin, while the basement becomes shallow as 0.3 km in the marginal part of the basin. We finally discussed the effects of the shallow and deep sedimentary layers on the 1D S-wave amplification characteristics using the revealed profiles. It is found that the shallow soil layers have no significant effects in the amplification at a frequency range lower than 3 Hz in the area