We prove sharp power-weighted L, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.

Sharp weak type (1, 1) and L p estimates in dimension one are obtained for uncentered maximal functions associated with Borel measures which do not necessarily satisfy a doubling condition. In higher dimensions uncentered maximal functions fail to satisfy such estimates. Analogous results for centered maximal functions are given in all dimensions.

BACKGROUND The physiological impairments most strongly associated with functional performance in older people are logically the most efficient therapeutic targets for exercise training interventions aimed at improving function and maintaining independence in later life. OBJECTIVES The objectives of this review were to (1) systematically review the relationship between muscle power and functio...

nowadays the researches have indicated the fact that using synthetic antioxidants as food additives in edible oils can have adverse effects on human health. so preparing antioxidation resources for reduction of oxidation stress effects is important. the aim of this project was, representing a natural antioxidant source with frap test. the present study optimized the ultrasound assisted extracti...

restrictions on the use of synthetic antioxidant such as butylated  hydroxyanisole  (bha) and butylated  hydroxytoluene (bht) are being imposed  because of  their carcinogecity. in this investigation  optimization  of phenolic extraction  process  frome  methanolic (80%)  extract (v/v) of  elaegnus  angustifolia  through  response  surface methodology  by fulin cio- calteu is  performrd  for op...

Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal pseudocompact. Various techniques for constructing maximal pseudocompact spaces are described. Maximal pseudocompactness is compared to maximal feeble compa...

In this paper we have discussed the relations between Maximal ideal, Prime ideal and irreducible ideal in an incline R. Mathematics Subject Classification: 16D25, 16Y60

The tolerable duration of continuous high-intensity exercise is determined by the hyperbolic Speed-tolerable duration (S-tLIM) relationship. However, application of the S-tLIM relationship to normalize the intensity of High-Intensity Interval Training (HIIT) has yet to be considered, with this the aim of present study. Subjects completed a ramp-incremental test, and series of 4 constant-speed t...