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Journal of Gastroenterology, ISSN 0944-1174, 3/2013, Volume 48, Issue 3, pp. 333 - 339
The clinical characteristics of Japanese patients with eosinophilic esophagitis (EoE) and eosinophilic gastroenteritis (EGE) have not been fully clarified. For... 
Eosinophile | Medicine & Public Health | Computed tomography | Colorectal Surgery | Hepatology | Gastroenterology | Abdominal Surgery | Diarrhea | Inflammation | Dysphagia | Surgical Oncology | Heartburn | ADULTS | PREVALENCE | CHILDREN | DISEASE | GASTROENTEROLOGY & HEPATOLOGY | CONSENSUS RECOMMENDATIONS | ASSOCIATION | ENDOSCOPIC FINDINGS | Japan - epidemiology | Glucocorticoids - therapeutic use | Age Distribution | Prevalence | Enteritis - diagnosis | Humans | Middle Aged | Diarrhea - epidemiology | Male | Tomography, X-Ray Computed | Eosinophilia - epidemiology | Eosinophilic Esophagitis - epidemiology | Young Adult | Eosinophilic Esophagitis - complications | Heartburn - etiology | Adult | Deglutition Disorders - etiology | Female | Endoscopy, Gastrointestinal - methods | Eosinophilia - drug therapy | Heartburn - epidemiology | Enteritis - epidemiology | Eosinophilia - diagnosis | Gastritis - diagnosis | Gastritis - drug therapy | Eosinophilia - etiology | Abdominal Pain - etiology | Eosinophilic Esophagitis - diagnosis | Gastritis - complications | Deglutition Disorders - epidemiology | Treatment Outcome | Enteritis - drug therapy | Abdominal Pain - epidemiology | Gastritis - epidemiology | Health Surveys | Enteritis - complications | Diarrhea - etiology | Eosinophilic Esophagitis - drug therapy | Aged | Eosinophilia - complications | Esophagitis | Medical colleges | Corticosteroids | Gastroenteritis | College graduates | Index Medicus
Journal Article
Czechoslovak Mathematical Journal, ISSN 0011-4642, 6/2019, Volume 69, Issue 2, pp. 337 - 351
We consider Littlewood-Paley functions associated with a non-isotropic dilation group on ℝ n . We prove that certain Littlewood-Paley functions defined by... 
non-isotropic dilation | Ordinary Differential Equations | 42B25 | Analysis | Convex and Discrete Geometry | 46E30 | Mathematics, general | Littlewood-Paley function | Mathematics | Mathematical Modeling and Industrial Mathematics | Smoothness
Journal Article
Journal of Fourier Analysis and Applications, ISSN 1069-5869, 6/2019, Volume 25, Issue 3, pp. 842 - 873
We establish characterization of $$H^1$$ H 1 Sobolev spaces by certain square functions of Marcinkiewicz type. The square functions are related to the Lusin... 
Sobolev space | Mathematics | Abstract Harmonic Analysis | Littlewood–Paley function | Primary 46E35 | Mathematical Methods in Physics | Marcinkiewicz function | Fourier Analysis | Lusin area integral | Signal,Image and Speech Processing | Approximations and Expansions | Secondary 42B25 | Partial Differential Equations
Journal Article
Journal of Fourier Analysis and Applications, ISSN 1069-5869, 06/2018, pp. 1 - 32
Journal Article
by Sato, S
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, ISSN 1069-5869, 06/2019, Volume 25, Issue 3, pp. 842 - 873
We establish characterization of H-1 Sobolev spaces by certain square functions of Marcinkiewicz type. The square functions are related to the Lusin area... 
MATHEMATICS, APPLIED | Littlewood-Paley function | Marcinkiewicz function | Lusin area integral | Sobolev space
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 1/2017, Volume 87, Issue 1, pp. 15 - 44
We consider certain Littlewood–Paley operators and prove characterization of some function spaces in terms of those operators. When treating weighted Lebesgue... 
Fourier multipliers | Littlewood–Paley functions | Analysis | Marcinkiewicz integrals | Mathematics | Secondary 46E35 | Primary 42B25 | Sobolev spaces | MATHEMATICS | MARCINKIEWICZ | NORM INEQUALITIES | OPERATORS | Littlewood-Paley functions | SINGULAR-INTEGRALS | Sobolev space | Operators | Multipliers
Journal Article
Nature Chemistry, ISSN 1755-4330, 03/2011, Volume 3, Issue 3, pp. 197 - 204
Journal Article
Illinois Journal of Mathematics, ISSN 0019-2082, 12/2014, Volume 58, Issue 4, pp. 1025 - 1039
Journal Article
Tellus, Series B: Chemical and Physical Meteorology, ISSN 0280-6509, 1999, Volume 51, Issue 3, pp. 701 - 712
Journal Article
Results in Mathematics, ISSN 1422-6383, 9/2018, Volume 73, Issue 3, pp. 1 - 20
We consider Littlewood–Paley functions associated with non-isotropic dilations. We prove that they can be used to characterize the parabolic Hardy spaces of... 
Mathematics, general | Mathematics | Littlewood–Paley functions | parabolic Hardy spaces | Primary 42B25 | Secondary 42B30 | MATHEMATICS | ATOMIC DECOMPOSITION | MATHEMATICS, APPLIED | Littlewood-Paley functions
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 4/2017, Volume 108, Issue 4, pp. 415 - 426
We prove a pointwise equivalence between a spherical square function composed with the Riesz potential and a Littlewood–Paley function arising from the... 
Littlewood–Paley function | Mathematics, general | Marcinkiewicz function | Mathematics | Primary 42B25 | Sobolev space | MATHEMATICS | LITTLEWOOD-PALEY | Littlewood-Paley function | Operators (mathematics)
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2013, Volume 400, Issue 2, pp. 311 - 330
We consider singular integral operators and maximal singular integral operators with rough kernels on homogeneous groups. We prove certain estimates for the... 
Homogeneous groups | Singular integrals | MATHEMATICS, APPLIED | NILPOTENT GROUPS | WEIGHTED NORM INEQUALITIES | HILBERT-TRANSFORMS | CURVES | KERNELS | MATHEMATICS | MAXIMAL FUNCTIONS | HARMONIC-ANALYSIS | WEAK-TYPE 1,1 | OPERATORS
Journal Article
by Sato, S
HOKKAIDO MATHEMATICAL JOURNAL, ISSN 0385-4035, 02/2019, Volume 48, Issue 1, pp. 61 - 84
We prove certain vector valued inequalities on R-n related to Littlewood- Paley theory. They can be used in proving characterization of the Hardy spaces in... 
MATHEMATICS | Vector valued inequalities | Littlewood-Paley functions | Hardy spaces
Journal Article
Nature, ISSN 0028-0836, 10/2011, Volume 478, Issue 7367, pp. 64 - 69
Journal Article
Chemistry – A European Journal, ISSN 0947-6539, 11/2013, Volume 19, Issue 46, pp. 15710 - 15718
The synthesis and characterisation of a series of new Rh and Au complexes bearing 1,2,4‐triazol‐3‐ylidenes with a N ‐2,4‐dinitrophenyl ( N ‐DNP) substituent... 
gold | acidity | carbene ligands | ligand effects | rhodium
Journal Article
Angewandte Chemie International Edition, ISSN 1433-7851, 06/2019, Volume 58, Issue 26, pp. 8736 - 8739
Rhodium(I)‐catalyzed enantioselective intramolecular cyclization of enynes having a hydroxy group in the tether was investigated, and various cyclic compounds... 
enantioselectivity | enyne | σ-bond metathesis | cyclization | rhodium | 1,6-ENYNES | CHIRAL PHOSPHINE-LIGANDS | ASYMMETRIC 2+2+2 CYCLIZATION | CHEMISTRY, MULTIDISCIPLINARY | CYCLOADDITION | CONSTRUCTION | CYCLOISOMERIZATION | sigma-bond metathesis | 1,N-ENYNES | Rhodium | Enantiomers | Bonds | Cycloaddition | Hydrogen bonds | Quaternary | Metathesis | Alcohol | Cyclic compounds | Substrates
Journal Article
Medicine & Science in Sports & Exercise, ISSN 0195-9131, 05/2009, Volume 41, p. 352
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2012, Volume 140, Issue 8, pp. 2791 - 2801
Journal Article