Abstract In this paper, we will discuss the space of functions weak bounded mean oscillation. particular, show that is dual special atom space, whose was already known to be derivative (in sense distribution) belonging Zygmund class functions. We show, in proves Hardy H 1 </m:ma...

We establish upper bounds for the joint moments of $2k$th power Riemann zeta function with $2h$th its derivative $0 \leq h 1$ and $1\leq k 2$. These are expected to be sharp based upon predictions from random m

The title compound, C(76)H(80)O(16), is a macrocyclic structure. This novel resorcin[4]arene derivative has (meth-oxy-carbon-yl)meth-oxy 'head' groups on the upper rim. The compound has a C(2v) 'boat' geometry and there are a range of C-H⋯O contacts in the crystal structure.

Several l ,3,5-triaza-2-boracyclohexa-4,6-diones, which are isoelectronic analogs of substituted uracil, have been prepared by condensation reactions of boranes with biurets. They include species containing a N H or B H unit as potentially reactive sites. The latter are extremely sensitive to hydrolysis but are readily handled as the 2-methylaminoethanol derivative containing fourcoordinate boron.

In the title benzoyl-hydrazide derivative, C17H18N2O, the dihedral angle between the benzene rings is 88.45 (8)° and the azomethine double bond adopts an E conformation. In the crystal, mol-ecules are linked by N-H⋯O and C-H⋯O hydrogen bonds, forming a chain along the b axis.

In the title benzoate derivative, C(14)H(9)N(3)O(8), the benzene rings form a dihedral angle of 87.48 (5)°. The central ester unit forms an angle of 19.42 (7)° with the methyl-benzene ring, indicating a significant twist. In the crystal, the mol-ecules are linked by weak C-H⋯O inter-actions forming a helical chain along [010].

The title compound, C(13)H(13)N(2) (+)·I(-), is a derivative of 1-amino-pyridinium iodide. The pyridine and benzene rings are oriented at a dihedral angle of 45.78 (3)°. In the crystal structure, weak inter-molecular C-H⋯I hydrogen bonds link the mol-ecules.

The title compound, C(8)H(7)BrO, is a halogenated derivative of acetophenone. The mol-ecule shows noncrystallographic C(s) symmetry. The intra-cyclic C-C-C angles cover the range 118.8 (2)-120.4 (3)°. In the crystal structure, C-H⋯O contacts connect the mol-ecules into undulating sheets perpendicular to the crystallographic c axis.

In the crystal structure of the title compound, C(24)H(27)NO(11), a substituted tetra-acetyl glucopyran-oside derivative, weak inter-molecular C-H⋯O hydrogen bonds link the mol-ecules into ribbons propagated in [010]. The d configuration has been attributed on the basis of the synthesis and the β anomer has been determined from the structure.

In the crystal structure of the title osthol derivative, C(18)H(23)NO(4), mol-ecules are linked by N-H⋯O hydrogen bonds into an infinite chain running parallel to the c axis. The CH(3)CH(2)- atoms of the propionamide group are disordered over two sets of sites with refined occupancies of 0.689 (12) and 0.311 (12).