Weak Orlicz-Hardy Martingale Spaces

In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established. With the help of weak atomic decompositions, a sufficient condition for a sublinear operator defined on the weak Orlicz-Hardy martingale spaces to be bounded is given. Further, we investigate the duality of weak Orlicz-Hardy martingale spaces and obtain a new John-Nirenberg type inequality when the stochastic basis is regular. These results can be regarded as weak versions of the Orlicz-Hardy martingale spaces due to Miyamoto, Nakai and Sadasue.Comment: 26 page

Fractional Hardy-Sobolev type inequalities for half spaces and John domains

As our main result we prove a variant of the fractional Hardy-Sobolev-Maz'ya inequality for half spaces. This result contains a complete answer to a recent open question by Musina and Nazarov. In the proof we apply a new version of the fractional Hardy-Sobolev inequality that we establish also for more general unbounded John domains than half spaces

John Melrose Hardy

https://digitalcommons.georgiasouthern.edu/willowhillheritage-obituaries/4444/thumbnail.jp

Photo with John Philip Sousa

Photograph of Mississippi State University President John Crumpton Hardy with John Philip Sousa, taken by Cully A. Cobb and sent to his sister.https://scholarsjunction.msstate.edu/mss-cobb-papers/1048/thumbnail.jp

Employee Perception of Brand Value in the Jewelry Industry

This study aims to discuss the brand value proposed by John Hardy and, as jewelryretail, it can be seen from each of these brand values. This study uses a qualitativemethod with the interview technique or open questionnaire for gaining all employeesin the sales department of John Hardy, Indonesia. The data were collected andanalyzed by first reducing and presenting the data and finally concluding.Triangulation was also done to get the trustworthiness (data validity) so that it isexpected to provide valid data for research. It shows that community, artisanship, and sustainability are much linked to the brand, and it is also tied together as well as being implemented. For that reason, John Hardy is required to know how to deliver the information correctly to the customer, mention the company's history, the value, and DNA (deoxyribonu-cleic acid) as the individual blueprint of every living thing, which makes it unique in the company