In this work, we consider the magnetohydrodynamics system with Hall and ion-slip effects in R3. The main result is a sufficient condition for regularity on time interval [0,T] expressed terms , of norm homogeneous Besov space B?,0{\dot{B}_{\infty,\infty}^0} respect to pressure BMO-norm gradient magnetic field, respectively
 ?0T(???(t)?B??,?02/3+??B(t)?BMO2)dt?{\int_{0}^{T} ({\| \Delta \pi(...

1,3-Butadiene (BD) is a multisite carcinogen in rodents, with mice being much more susceptible than rats. This species difference in carcinogenicity has been attributed to differences in metabolism. In this study, coordinated metabolism of butadiene monoxide (BMO, 5, 25, and 250 microM), the primary reactive metabolite of BD, was investigated in freshly isolated male B6C3F1 mouse and Sprague-Da...

We establish a connection between the function space BMO and theory of quasisymmetric mappings on \emph{spaces homogeneous type} $\widetilde{X} :=(X,\rho,\mu)$. The is that logarithm generalised Jacobian an $\eta$-quasisymmetric mapping $f: \widetilde{X} \rightarrow \widetilde{X}$ always in $\rm{BMO}(\widetilde{X})$. In course proving this result, we first show $\widetilde{X}$, reverse-H\"{o}ld...

On the setting of Siegel upper half-space we study spaces bounded and vanishing mean oscillations which are defined in terms Berezin transform, use them to characterize compact Hankel operators on Bergman space. When symbols specialized be holomorphic, its corresponding Bloch space half-space.

This note is a continuation of the work described in the paper [4]. We prove that there are two bounded complementary projection operators P = ∇ (∆−1div) and Q = Div ( ∆−1curl) defined on the class of vectors fields −→ h ∈ E. AMS Mathematics Subject Classification (2000): 42B20, 42B35

We characterise the boundedness of a Toeplitz operator on the Bergman space with a L symbol. We also prove that the compactness of a Toeplitz operator on the Bergman space with a L symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends known results in the cases when the symbol is either a positive L function, an L∞ function or a general BMO func...

In 2001, H. Koch and D. Tataru proved the existence of global in time solutions to the incompressible Navier-Stokes equations in R d for initial data small enough in BMO−1. We show in this article that the Koch and Tataru solution has higher regularity. As a consequence, we get a decay estimate in time for any space derivative, and space analyticity of the solution. Also as an application of ou...

We show that any pointwise multiplier for BMO(R) generates a function p from the class P(Rn) of those functions for which the Hardy-Littlewood maximal operator is bounded on the variable L space. In particular, this gives a positive answer to Diening’s conjecture saying that there are discontinuous functions which nevertheless belong to P(Rn). Mathematics Subject Classification (2000): 42B25