Abstract An internally generated magnetic field once existed on the Moon. This reached high intensities (∼10–100 μ T, perhaps intermittently) from ∼4.3 to 3.6 Gyr ago and then weakened ≲5 T before dissipating by ∼1.9–0.8 ago. While Moon’s metallic core could have a via dynamo powered vigorous convection, models of often fail explain observed characteristics lunar field. In particular, alone may...

We obtain new local Calderón--Zygmund estimates for elliptic equations with matrix-valued weights linear as well nonlinear equations. introduce a novel log-BMO condition on the weight $\mathbb M$. In particular, we assume smallness of logarithm in BMO. This allows us to include degenerate, discontinuous weights. The assumption parameter is sharp and terms integrability exponent gradient. novelt...

Bolest mačjeg ogreba (BMO) infekcija je uzrokovana Gram negativnom, fakultativno intracelularnom bakterijom Bartonella henselae. Glavni rezervoar infekcije mačka i oko 75% bolesnika ima podatak o ogrebu ili ugrizu mačke u anamnezi. Rjeđe se javlja kontaktu s psom, posredovano mačjom buhom neizravnim kontaktom oštećene kože sluznice površinom kontaminiranom slinom. Infekcija može proći asimptoma...

Abstract. We prove a weak-type (1,1) inequality involving conditioned square functions of martingales in non-commutative L-spaces associated with finite von Neumann algebras. As application, we determine the optimal orders for the best constants in the non-commutative Burkholder/Rosenthal inequalities from Ann. Probab. 31 (2003), 948-995. We also discuss BMO-norms of sums of non commuting order...