Norm convolution inequalities in Lebesgue spaces

We obtain upper and lower estimates of the (p; q) norm of the con-volution operator. The upper estimate sharpens the Young-type inequalities due to O'Neil and Stepanov

Norm convolution inequalities in lebesgue spaces

We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals. © European Mathematical Society

Norm convolution inequalities in Lebesgue spaces

We obtain upper and lower estimates of the (p; q) norm of the con-volution operator. The upper estimate sharpens the Young-type inequalities due to O'Neil and Stepanov

Norm convolution inequalities in lebesgue spaces

We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals. © European Mathematical Society

Practical Joule Heating for Phytosanitary Log Treatment

A team at the University of Canterbury’s Electric Power Engineering Centre (EPECentre) has developed a laboratory machine and process that can rapidly and reliably Joule heat the sapwood of softwood timber. This treatment, initially intended for phytosanitary purposes, has been demonstrated on multiple full-sized, New Zealand (NZ) grown, Pinus radiata logs. The team has been working with Scion (NZ’s Forest Research Institute) and Canterbury University’s Departments of Forestry, Chemical & Process Engineering and Electrical & Computer Engineering, with funding from NZ’s Ministry of Business, Innovation and Employment (MBIE) and industry organization Stakeholders in Methyl-bromide Reduction (STIMBR). A publications search shows that the Joule heating idea was trialled as a veneer log pre-treatment by the US Department of Agriculture Forest Service, Madison, Wisconsin in 1953. More recently some computer modelling work has been done in France for the same purpose, but the idea has not been commercialized, seemingly due to insufficient understanding of the process to overcome the problems of uneven heating profile. The EPECentre team has studied the electrical and thermal behaviour of freshly harvested P. radiata in sufficient depth to create both a full Computational Fluid Dynamics (CFD) model and a simplified computer model. The simplified model is sufficiently robust to generate control parameters enabling the machine to successfully heat all sapwood parts of every log tested to above 60o C, for ISPM-15 type compliance over a half hour period

Norm convolution inequalities in Lebesgue spaces

We obtain upper and lower estimates of the (p; q) norm of the con-volution operator. The upper estimate sharpens the Young-type inequalities due to O'Neil and Stepanov