20 research outputs found

    New classes of weighted H\"older-Zygmund spaces and the wavelet transform

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    We provide a new and elementary proof of the continuity theorem for the wavelet and left-inverse wavelet transforms on the spaces S0(Rn) \mathcal{S}_0(\mathbb{R}^n) and S(Hn+1) \mathcal{S}(\mathbb{H}^{n+1}). We then introduce and study a new class of weighted H\"older-Zygmund spaces, where the weights are regularly varying functions. The analysis of these spaces is carried out via the wavelet transform and generalized Littlewood-Paley pairs.Comment: 18 page

    The wavelet transforms in Gelfand-Shilov spaces

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    We describe local and global properties of wavelet transforms of ultradifferentiable functions. The results are given in the form of continuity properties of the wavelet transform on Gelfand-Shilov type spaces and their duals. In particular, we introduce a new family of highly time-scale localized spaces on the upper half-space. We study the wavelet synthesis operator (the left-inverse of the wavelet transform) and obtain the resolution of identity (Calder\'{o}n reproducing formula) in the context of ultradistributions

    The incorporation of Me-histidine complexes in the structure of FAU-type zeolite: Characterization of the obtained materials

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    L-histidine, a naturally occurring amino acid, was incorporated inside the supercages of FAU type zeolite in a form of Me-complex entity (Me = Cu(II), Zn(II), Fe(III)). The preparation was done either by ion-exchange procedure, or previously prepared Me-histidine complex was incorporated into the a cages of Y zeolite by occlusion. The preparation procedure was found to be a very important factor, as well as the amount of metal complex loaded on the zeolite. The characterization of obtained samples was performed using Diffuse Reflectance Ultraviolet-Visible Spectroscopy (DRUV-Vis), 13C MAS NMR and Infrared Spectroscopy (FTIR). It was noticed that 1-hostidine interacted with the zeolitic framework, and with the extra-framework cation, as well. The results obtained by TG-DSC/MAS technique, revealed that the thermal stability of incorporated histidine was increased, in comparison with that one of pure histidine.U ovom radu, Me-histidin (Me = Zn(II), Cu(II), Fe(III)) kompleksi ugrađivani su u strukturu Yzeolita, primenom dva različita postupka: (1) Me-histidin kompleksi su pravljeni u dejonizovanoj vodi i zatim mešani sa NaY zeolitom, (2) histidinje rastvoren u vodi i u rastvor su dodavani jonski izmenjeni Y zeoliti. UV-spektroskopijom tečne faze je utvrđeno da je proces imobilizacije izvršen za 24 h. Ovako dobijem čvrsti materijali su detaljno okarakterisani hemijski i metodama XRD, NMR, IR, DR UV-VIS, dok su njihove termalne stabilnosti ispitivane primenom TG-DSC/MAS tehnike. Dobijem rezultati omogućili su poređenje osobina sintetisanih uzoraka

    Psychosocial school factors and mental health of first grade secondary school students-Results of the Health Behaviour in School-aged Children Survey in Serbia.

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    This cross-sectional study aimed to investigate the association between psychosocial school factors and life satisfaction, symptoms of depression and psychosomatic health complaints among first grade secondary school students in Serbia. We analysed data from the 2018 Health Behaviour in School-aged Children (HBSC) study in the Republic of Serbia. Analyzed psychosocial school factors included satisfaction with school, schoolwork pressure, teacher support, classmate support and being bullied at school. Life satisfaction was assessed by the 11-step Cantril's ladder (cutoff >5). Symptoms of depression were measured by the Center for Epidemiologic Studies Depression Scale (CESD-10) and psychosomatic health complaints by using the HBSC symptom checklist. Univariable and multivariable binary logistic regression was used to determine independent predictors of students' life satisfaction, symptoms of depression and psychosomatic health complaints in the school environment, while also considering their socio-demographic characteristics and perceived family and friend support. The study included 1605 students (average age 15.26 ±0.44 years), of whom 50.3% were females. Results from the binary logistic regression analyses showed that life satisfaction was positively related to school satisfaction and classmate support, and negatively to being bullied at school. Symptoms of depression were positively associated with schoolwork pressure and being bullied at school, and negatively with teacher and classmate support. All analyzed factors of the school environment were significantly related to psychosomatic health complaints, whereby schoolwork pressure and being bullied at school were positively associated, while teacher and classmate support and satisfaction with school were negatively associated. Given the established association of psychosocial school factors with mental health, there is a need for targeted measures both at school and community level with the aim of improving social support in the school environment, reducing schoolwork burden and preventing bullying at school, potentially resulting in the overall improvement of mental health of the first grade secondary school students
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