real analysis – How do maximally function-maximizing logs depend on their centers?

Let $ mu $ to be a finite measure of Borel on $ mathbb R ^ N $ and let $ f in L ^ 1 ( mu) $ to be a non-negative function. Let $ M_ mu f $ denote the maximum function of $ f $ related to $ mu $, that is to say. $ (M_ mu f) (x) = 0 $ if $ mu (B (x, r)) = 0 $ for some people $ r> $ 0 and $ (M_ mu f) (x) = sup_ {0 <r < infty} frac {1} { mu (B (x, r))} int_ {B (x, r)} f, $ mu other. (Right here $ B (x, r) $ means the open ray ball $ r $ focused on $ x $.)

Assume that $ a> $ 0 and $ K subset mathbb R ^ N $ is a compact such as $ M_ mu f> a $ sure K $. Then for everyone $ x in K $ it exists $ r_x> 0 $ such as $$ frac {1} { mu (B (x, r_x))} int_ {B (x, r_x)} f , d mu> a. tag {1} $$

Question. Is it possible to choose for each $ x in K $ the Ray $ r_x> 0 $ so that (1) is valid and the mapping $ x mapsto r_x $ is continuous or at least Borel?

This question is inspired by another recent question on the Besicovich type overlap theorem.

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ServersBase.Com – Cloud Instances | SSD storage | Data Centers Europe and United States | Fully managed | NewProxyLists

[​IMG]

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Fully managed
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We are currently working on more payment methods

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Contact our sales department

What kind of routers do the security operations centers use? [on hold]

I'm doing a project where I have to design a SOC from the bottom up and I can not find any information about routers used by a SOC.

Limited Liability Company | Hosting VPS in Data Centers Outside Your State LLC

The subject says all this most of the time. I am an active military man who is retiring in the next two years and I am looking to get in (I am already well enough prepared for all this, I just want to have some last few ducks in a row before pulling the trigger) my passion for servers and virtualized hosting. I already know that the market is saturated, but honestly, I'm not trying to make it a main source of income. I am not a businessman, but I have a lot of googles. I already know that I will register my company as an LLC. I always decide the state with my military status. The protection of privacy is a major concern for me. I do not want my name to be posted on the Internet, but I do not want to be suspicious as if I were hiding something other than my name and home address. I've already looked at virtual mailboxes, virtual desktops, etc. because having a physical location where I will sit down and take phone calls to have a professional address It's not a lot of financial sense.

It's a bit of a background. Suppose I'm going to start with my (my) first server (s) in Georgia and expect to be LLC there. Then, in a few months, I want to start selling VPS in a data center in New York. Should I then register as a foreign LLC in New York, in addition to Georgia, simply because the server is located in New York and serves from New York? Any other tips or hints would be appreciated by anyone who would have to consider everything that was going on to do something like this alone. I do not have a lawyer or accountant at my disposal and I never really intend to do it. I just want to have a few boxes that I sell to space for people looking for dedicated cores in a low density server case of customers. Thank you in advance for any advice.

kubernetes – OpenShift Spanning Cluster: Distribute replicas evenly across data centers

I have an OpenShift cluster that is split between two physically separated data centers for georedundancy. The nodes are labeled according to their location.

Now I am looking for a way to configure the scheduler so that if a pod is running with a replica (which is in one of the two datacenters) and that a Additional replica is started, the additional replica starts in the other. data centers? So, if the deployment runs with an even number of replicas, the replicas are evenly distributed between the two datacenters?

I was looking in the pod / node affinity documentation as well as in the scheduler setup, but I did not find anything I needed. Maybe I'm just googling wrong?

Any help is greatly appreciated.