In this paper, we consider the generalized stationary Stokes system with p -growth and Dini- $${\text {BMO}}$$ regular coefficients. The main purpose is to establish pointwise estimates for shear rate associated pressure such in terms of an unconventional nonlinear Havin–Maz’ya–Wolff type potential nonhomogeneous term plane. As a consequence, symmetric gradient $$L^{\infty }$$ estimate obtained...

OBJECTIVE Bone marrow oedema (BMO) and HLA-B27 are poor prognostic factors in axial SpA, and psoriasis is a poor prognostic factor in small-joint polyarthropathy. The aim of this study was to investigate the influence of HLA-B27, MRI BMO and psoriasis on long-term outcomes in early SpA-related knee joint oligoarthritis. METHODS Patients with SpA-related oligoarthritis with knee involvement we...

In this paper, we will give some results on the support of Dunkl translations compactly supported functions. Then define Dunkl-type $BMO$ space and Riesz transforms for transform $L^\infty$, prove boundedness from $L^\infty$ to under uniform assumption translations. The proof definition in setting be harder than classical case lack similar properties that We also extend preciseness description ...

We consider BMO spaces of operator-valued functions, among them the space of operator-valued functions B which define a bounded paraproduct on L(H). We obtain several equivalent formulations of ‖πB‖ in terms of the norm of the ”sweep” function of B or of averages of the norms of martingales transforms of B in related spaces. Furthermore, we investigate a connection between John-Nirenberg type i...

In this paper we consider the Spanne type boundedness of sublinear operators and prove the Adams type boundedness theorems for these operators and also give BMO (bounded mean oscillation space) estimates for their commutators in generalized Morrey spaces on Heisenberg groups. The boundedness conditions are formulated in terms of Zygmund type integral inequalities. Based on the properties of the...

We study the global well-posedness of the Lagrangian averaged Euler equations in three dimensions. We show that a necessary and sufficient condition for the global existence is that the BMO norm of the stream function is integrable in time. We also derive a sufficient condition in terms of the total variation of certain level set functions, which guarantees the global existence. Furthermore, we...

In the general setting of a space of homogeneous type endowed with an Ahlfors regular measure, we introduce the Banach spaces BMO and V MO defined through suitable cubes, and we prove that these spaces are topologically equivalent to the standard ones usually defined by means of balls. Through this fact we extend a known result of Sarason showing that C∞ is locally dense in V MO in the setting ...

We study weighted Sobolev regularity of weak solutions of nonhomogeneous parabolic equations with singular divergence-free drifts. Assuming that the drifts satisfy some mild regularity conditions, we establish local weighted Lp-estimates for the gradients of weak solutions. Our results improve the classical one to the borderline case by replacing the L∞-assumption on solutions by solutions in t...

Incubations of butadiene monoxide (BMO) with mouse, rat, and human liver microsomes or cDNA-expressed human microsomal epoxide hydrolase led to 3-buten-1,2-diol (BDD) detection; the BDD peak exhibited a GC/MS fragmentation pattern similar to that of reference material. Incubations with rat liver cytosol did not lead to BDD detection; however, when mouse or human liver cytosol was used, BDD was ...

Physiological and regulatory mechanisms that allow the alkane-oxidizing bacterium Pseudomonas butanovora to consume C2 to C8 alkane substrates via butane monooxygenase (BMO) were examined. Striking differences were observed in response to even- versus odd-chain-length alkanes. Propionate, the downstream product of propane oxidation and of the oxidation of other odd-chain-length alkanes followin...