Some Entropy Bump Conditions for Fractional Maximal and Integral Operators

We investigate weighted inequalities for fractional maximal operators and fractional integral operators. We work within the innovative framework of "entropy bounds" introduced by Treil--Volberg. Using techniques developed by Lacey and the second author, we are able to efficiently prove the weighted inequalities.Comment: v2. Part of Theorem 1.1 from v1 was not true; we fixed the error. We thank Kabe Moen for pointing this out to u

Characterization of quantum well structures using a photocathode electron microscope

Present day integrated circuits pose a challenge to conventional electronic and mechanical test methods. Feature sizes in the submicron and nanometric regime require radical approaches in order to facilitate electrical contact to circuits and devices being tested. In addition, microwave operating frequencies require careful attention to distributed effects when considering the electrical signal paths within and external to the device under test. An alternative testing approach which combines the best of electrical and optical time domain testing is presented, namely photocathode electron microscope quantitative voltage contrast (PEMQVC)

Doctor of Philosophy

dissertationIn fatigue and fracture critical aerospace structure, fastener holes represent one of the most highly prone locations for the nucleation and propagation of fatigue cracks. The Split Sleeve Cold ExpansionTM (SSCx) process was developed to help reduce the probability of fatigue crack propagation at fastener locations. The SSCx process has been demonstrated to provide a dramatic improvement in the fatigue life at processed hole, however within the current fatigue life paradigms there is limited ability to take analytical advantage of this process when calculating an inspection interval. One of the concerns related to the implementation of this type of deep, engineered residual stress into a fatigue life calculation is whether or not a fatigue crack that propagates through the residual stress/strain field is changed due to the presence of the fatigue crack. In order quantify the effect a fatigue crack has on the residual stress field around a cold expanded (Cxed) hole within two common aluminum alloys (2024-T351 and 7075-T651), first a series of baseline uncracked coupons were developed. From these groups of replicate coupons, the two-dimensional residual stress fields were quantified using the contour method. In the second phase of this program, fatigue cracks were then developed and propagated within identical coupons to specific cold expansion (Cx) mandrel entrance surface lengths, ranging from 0.08 inch to 0.50 inch. The contour method was used to determine the residual stresses within these fatigue-cracked coupons. With a statistical understanding of the baseline, uncracked condition, the effect of the presence of the fatigue crack spatial throughout the coupon was able to be quantified. The effect of the fatigue crack was then integrate into a range of FEA simulation processed used to calculate SIFs and provide a prediction of a given test condition. Predictions were made using the legacy, static residual stress field, as determined by the baseline, uncracked coupons. We then utilized the information gained through the residual stressed determined in the fatigue-cracked coupons to make another prediction. Through the integration of the determined effect of the fatigue crack a more accurate prediction of the test condition was able to be developed

A Comparative Study of Post-Ottoman Political Influences on Bulgarian National Identity Construction and Conflict

Bulgarian society has a successful history of maintaining a relatively peaceful multicultural environment over centuries. This thesis is a comparative analysis of three transitional periods in Bulgaria coinciding with 1) the latter years of Ottoman dominion: 1762-1877, 2) the end of the Balkan Wars and World Wars I and II: 1878-1947, and 3) the latter years of the Communist dominion: 1947-1989. These periods will be analyzed with the aim to understand the role that regional political agendas have played in shaping an imagined Bulgarian national identity. It will be shown that when it has occurred, identity-based conflict in Bulgaria can be better explained by examining the contributions of nationalist political influences from 1876 - 1989 on identity construction rather than an inherent Balkan propensity to religious and ethnic intolerance. The Bulgarian case is especially relevant to understanding national identity construction in the Balkan region while holding out the possibility for various religious, linguistic, and ethnic groups to coexist peacefully in a heterogeneous environment

Philip the evangelist in Lucan perspective.

SIGLEAvailable from British Library Document Supply Centre- DSC:D89385 / BLDSC - British Library Document Supply CentreGBUnited Kingdo