How Long to Read Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities

How Long Does it Take to Read Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities?

It takes the average reader 2 hours and 12 minutes to read Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities by María J. Carro

Assuming a reading speed of 250 words per minute. Learn more

Description

The main objective of this work is to bring together two well known and, a priori, unrelated theories dealing with weighted inequalities for the Hardy-Littlewood maximal operator $M$. For this, the authors consider the boundedness of $M$ in the weighted Lorentz space $\Lambdap u(w)$. Two examples are historically relevant as a motivation: If $w=1$, this corresponds to the study of the boundedness of $M$ on $Lp(u)$, which was characterized by B. Muckenhoupt in 1972, and the solution is given by the so called $A p$ weights. The second case is when we take $u=1$. This is a more recent theory, and was completely solved by M.A. Arino and B. Muckenhoupt in 1991. It turns out that the boundedness of $M$ on $\Lambdap(w)$ can be seen to be equivalent to the boundedness of the Hardy operator $A$ restricted to decreasing functions of $Lp(w)$, since the nonincreasing rearrangement of $Mf$ is pointwise equivalent

How long is Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities?

Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities by María J. Carro is 128 pages long, and a total of 33,024 words.

This makes it 43% the length of the average book. It also has 40% more words than the average book.

How Long Does it Take to Read Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours to read Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities aloud.

What Reading Level is Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities?

Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

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