Abbas - Tanwîr al-Miqbâs min Tafsîr Ibn ‘Abbâs
And from his narration on the authority of Ibn 'Abbas that he said in the interpretation of Allah's saying (Praise be to Allah): '(Praise be to Allah) He says: Gratitude belongs to Allah; this is because He is kind to His creation and the latter thanks Him for it, (unto Whom belongeth whatsoever is in the heavens) of creation (and whatsoever is in the earth) of created beings. (His is the praise) the favour (in the Hereafter) upon the dwellers of Paradise in Paradise, (and He is the Wise) in His command and decree; He commanded that none should be worshipped save Him, (the Aware) He knows His created beings as well as their works.
Praise be to God — God, exalted be He, praises Himself with these [words]; the import constitutes the eulogy that ‘praise’ is ever-established [for God] and it entails the attribution to Him of all that is beautiful, exalted be He — to Whom belongs whatever is in the heavens and whatever is in the earth, as possessions and creation. And to Him belongs [all] praise in the Hereafter, as in this world, for His friends praise Him as they enter Paradise. And He is the Wise, in what He does, the Aware, of His creatures.
All Praise and the Knowledge of the Unseen belong to Allah Alone
Allah tells us that all praise belongs to Him alone in this world and in the Hereafter, because He is the Giver and Bestower who gives to the people of this world and the Hereafter, the Sovereign and Controller of all. Allah says:
(And He is Allah; none has the right to be worshipped but He, all praise is due to Him (both) in the first (i.e., in this world) and in the last (the Hereafter). And for Him is the decision, and to Him shall you (all) be returned.) (28:70). Allah says:
(All praise is due to Allah, to Whom belongs all that is in the heavens and all that is in the earth.) meaning, all of it is His dominion and is enslaved by Him and subject to His control, as Allah says:
وَإِنَّ لَنَا لَلاٌّخِرَةَ وَالاٍّولَى
(And truly, unto Us (belong) the last (Hereafter) and the first (this world)) (92:13). Then Allah says:
وَلَهُ الْحَمْدُ فِى الاٌّخِرَةِ
(His is all praise in the Hereafter,) for He is the One Who will be worshipped forever and praised for eternity.
and He is the All-Wise, means, in all that He says and does, legislates and decrees.
the All-Aware. from Whom nothing at all is hidden or concealed. Ma0lik narrated that Az-Zuhri said, He is All-Aware of His creation, All-Wise in His commands. Alla0h says:
(He knows that which goes into the earth and that which comes forth from it,) meaning, He knows the number of raindrops that sink into the depths of the earth, and the seeds that have been sown, and the things that are hidden in it, and He knows what comes forth from that, how many they are, how they grow and what they look like.
وَمَا يَنزِلُ مِنَ السَّمَآءِ
(and that which descends from the heaven) means, of raindrops and provision, and what ascends into it, i.e., righteous deeds and other things.
وَهُوَ الرَّحِيمُ الْغَفُورُ
(And He is the Most Merciful, the Oft-Forgiving.) means, He is Most Merciful to His servants; He does not hasten to punish them, and He forgives the sins of those who repent to Him and put their trust in Him.
Maududi - Sayyid Abul Ala Maududi - Tafhim al-Qur'an
The Arabic word hamd is used both for praise and for gratitude and both the meanings are implied here. When Allah alone is the Owner of the whole universe and of everything in it, then inevitably He alone deserves to be praised for every beauty, perfection, wisdom, power and excellent skill and design shown and manifested by it. Therefore, every inhabitant of the world must thank Allah alone for any benefit and pleasure that he draws from anything here. For when no one else is a partner in the ownership of these things, no one else deserves to be praised or thanked.
That is, "Just as every blessing in this world is granted by Allah alone, so in the Hereafter also whatever a person will get, he will get from His treasures and by His grace. Therefore, in the Hereafter too, Allah alone deserves to be praised as well as thanked. "
That is, "All His works are based on perfect wisdom and knowledge. Whatever He does, He does right. He has full knowledge about every creation of His as to where it is, in what state it is, what are its requirements, what precisely needs to be done for its well-being, what it has done so far and what it will do in the future. He is not unaware of the world created by Himself, but is fully aware of the condition and state of every particle in it. "
That is, "If a person (or persons) is not being seized in spite of rebellion against Him in His Kingdom, it is not because this world is a lawless kingdom and Allah is ruler, but because Allah is an inept All-Merciful and All-Forbearing, Although it lies in His power to seize the sinner and the wrongdoer immediately on the commission of sin, to withhold his sustenance, to paralyze his body, and to put rum to death suddenly, yet He does not do so. It is the demand of His Beneficence that" in spite of being All-Powerful He gives the disobedient servant plenty of rope and enough respite to mend his ways and as soon as he desists from his evil ways, He pardons and forgives him. "