William Beckner

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Superficially, this article, dedicated with friendship and admiration to Amitai Regev, has nothing to do with either Polynomial Identity Rings, Representation Theory, or Young tableaux, to all of which he made so many outstanding contributions. But anyone who knows even a little about Amitai Regev’s remarkable and versatile research, would know that both(More)
OBJECTIVE To carry out a systematic review of the literature examining the efficacy of psychological interventions (e.g., relaxation, biofeedback, cognitive-behavioral therapy) in the treatment of rheumatoid arthritis (RA). METHODS Studies that met the following criteria were included: random assignment, wait-list or usual care control condition;(More)
OBJECTIVE To evaluate the quality of reports of complementary and alternative medicine (CAM) randomized controlled trials (RCTs) in the pediatric population. We also examined whether there was a change in the quality of reporting over time. METHODS We used a systematic sample of 251 reports of RCTs that used a CAM intervention. The quality of each report(More)
WILLIAM BECKNER Abstract. Sharp Lp extensions of Pitt’s inequality expressed as a weighted Sobolev inequality are obtained using convolution estimates and Stein-Weiss potentials. Optimal constants are obtained for the full Stein-Weiss potential as a map from Lp to itself which in turn yield semi-classical Rellich inequalities on Rn. Additional results are(More)
Sharp extensions of Pitt’s inequality and bounds for Stein-Weiss fractional integrals are obtained that incorporate gradient forms and vector-valued operators. Such results include HardyRellich inequalities. Weighted inequalities provide quantitative information to characterize integrability for differential and integral operators and intrinsically are(More)
Clinical, biochemical, haematological and erythrokinetic studies were performed on 63 adult males with prolonged lead exposure. Their most common symptoms and findings were abdominal pain (62%), gingival lead lines (48%), headache and/or dizziness (33%), muscle cramps (32%), anaemia (19%), and fatigue (18%). Colicky abdominal pain (27%) and gingival lead(More)