We consider complex-valued functions f ∈ L^1 （R^2＋）, where R＋ ：= [0,∞）, and prove sufficient conditions under which the double sine Fourier transform fss and the double cosine Fourier transform fcc belong to o...We consider complex-valued functions f ∈ L^1 （R^2＋）, where R＋ ：= [0,∞）, and prove sufficient conditions under which the double sine Fourier transform fss and the double cosine Fourier transform fcc belong to one of the two-dimensional Lipschitz classes Lip（a,β） for some 0 〈 α,β ≤ 1; or to one of the Zygmund classes Zyg（α,β） for some 0 〈 α,β ≤ 2. These sufficient conditions are best possible in the sense that they are also necessary for nonnegative-valued functions f ∈ L^1 （R^2＋）.展开更多
Objectives: We report our experience and the protocol we used in managing maxillary hypoplasia in cleft lip and palate patients. Patients and methods: 14 adult cleft lip and palate patients with maxillary hypoplasia w...Objectives: We report our experience and the protocol we used in managing maxillary hypoplasia in cleft lip and palate patients. Patients and methods: 14 adult cleft lip and palate patients with maxillary hypoplasia were evaluated clinically. Dental models and radiographs including (lateral cephalograms and orthopantographs) were obtained at the initial visit and upon completion of the presurgical orthodontic treatment. Patients with occlusal discrepancies larger than 6 mm and severe palatal scaring underwent Distraction osteogenesis (DO) to advance the maxilla. Patients with an occlusal discrepancy of 6 mm or less, underwent traditional orthognathic surgery including le fort I advancement and Bilateral sagittal split osteotomy (BSSO) to seat the mandible in occlusion. Results: Five patients underwent orthognathic surgery. Two of them underwent double jaw surgery. Three underwent single jaw conventional le fort l advancement. Four patients required bone grafting to repair the residual alveolar defect and to augment the midface deficiency. Nine patients with severe maxillary hypoplasia underwent maxillary advancement using distraction osteogenesis. Conclusion: Patients with a severe maxillary hypoplasia of 6 mm or more and excessive palatal scaring are successfully treated with DO. Conventional le fort I is reserved for patients with less severe maxillary hypoplasia. Both techniques gave promising results providing having followed the proper selection criteria.展开更多
基金Supported partially by the Program TMOP-4.2.2/08/1/2008-0008 of the Hungarian National Development Agency
文摘We consider complex-valued functions f ∈ L^1 （R^2＋）, where R＋ ：= [0,∞）, and prove sufficient conditions under which the double sine Fourier transform fss and the double cosine Fourier transform fcc belong to one of the two-dimensional Lipschitz classes Lip（a,β） for some 0 〈 α,β ≤ 1; or to one of the Zygmund classes Zyg（α,β） for some 0 〈 α,β ≤ 2. These sufficient conditions are best possible in the sense that they are also necessary for nonnegative-valued functions f ∈ L^1 （R^2＋）.
文摘Objectives: We report our experience and the protocol we used in managing maxillary hypoplasia in cleft lip and palate patients. Patients and methods: 14 adult cleft lip and palate patients with maxillary hypoplasia were evaluated clinically. Dental models and radiographs including (lateral cephalograms and orthopantographs) were obtained at the initial visit and upon completion of the presurgical orthodontic treatment. Patients with occlusal discrepancies larger than 6 mm and severe palatal scaring underwent Distraction osteogenesis (DO) to advance the maxilla. Patients with an occlusal discrepancy of 6 mm or less, underwent traditional orthognathic surgery including le fort I advancement and Bilateral sagittal split osteotomy (BSSO) to seat the mandible in occlusion. Results: Five patients underwent orthognathic surgery. Two of them underwent double jaw surgery. Three underwent single jaw conventional le fort l advancement. Four patients required bone grafting to repair the residual alveolar defect and to augment the midface deficiency. Nine patients with severe maxillary hypoplasia underwent maxillary advancement using distraction osteogenesis. Conclusion: Patients with a severe maxillary hypoplasia of 6 mm or more and excessive palatal scaring are successfully treated with DO. Conventional le fort I is reserved for patients with less severe maxillary hypoplasia. Both techniques gave promising results providing having followed the proper selection criteria.
